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Volumn 3, Issue , 2007, Pages 195-275

Chapter 3 Examples of singular limits in hydrodynamics

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EID: 33846820019     PISSN: 18745717     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1874-5717(07)80006-5     Document Type: Chapter
Times cited : (76)

References (177)
  • 1
    • 2542540558 scopus 로고    scopus 로고
    • Optimal bounds for the inviscid limit of Navier-Stokes equations
    • Abidi H., and Danchin R. Optimal bounds for the inviscid limit of Navier-Stokes equations. Asymptot. Anal. 38 1 (2004) 35-46
    • (2004) Asymptot. Anal. , vol.38 , Issue.1 , pp. 35-46
    • Abidi, H.1    Danchin, R.2
  • 2
    • 31744447593 scopus 로고    scopus 로고
    • Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions
    • Alazard T. Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Adv. Differential Equations 10 1 (2005) 19-44
    • (2005) Adv. Differential Equations , vol.10 , Issue.1 , pp. 19-44
    • Alazard, T.1
  • 3
    • 31744435975 scopus 로고    scopus 로고
    • Low Mach number limit of the full Navier-Stokes equations
    • Alazard T. Low Mach number limit of the full Navier-Stokes equations. Arch. Ration. Mech. Anal. 180 1 (2006) 1-73
    • (2006) Arch. Ration. Mech. Anal. , vol.180 , Issue.1 , pp. 1-73
    • Alazard, T.1
  • 4
    • 84974746759 scopus 로고
    • Homogenization of the Stokes flow in a connected porous medium
    • Allaire G. Homogenization of the Stokes flow in a connected porous medium. Asymptotic Anal. 2 3 (1989) 203-222
    • (1989) Asymptotic Anal. , vol.2 , Issue.3 , pp. 203-222
    • Allaire, G.1
  • 5
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • Allaire G. Homogenization and two-scale convergence. SIAM J. Math. Anal. 23 6 (1992) 1482-1518
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.6 , pp. 1482-1518
    • Allaire, G.1
  • 6
    • 1342266714 scopus 로고    scopus 로고
    • Well-posedness of vortex sheets with surface tension
    • Ambrose D.M. Well-posedness of vortex sheets with surface tension. SIAM J. Math. Anal. 35 (2003) 211-244
    • (2003) SIAM J. Math. Anal. , vol.35 , pp. 211-244
    • Ambrose, D.M.1
  • 7
    • 26944460000 scopus 로고    scopus 로고
    • The zero surface tension limit of two-dimensional water waves
    • Ambrose D.M., and Masmoudi N. The zero surface tension limit of two-dimensional water waves. Comm. Pure Appl. Math. 58 10 (2005) 1287-1315
    • (2005) Comm. Pure Appl. Math. , vol.58 , Issue.10 , pp. 1287-1315
    • Ambrose, D.M.1    Masmoudi, N.2
  • 8
    • 0029695832 scopus 로고    scopus 로고
    • integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids
    • Babin A., Mahalov A., and Nicolaenko B. integrability and regularity of 3D Euler and Navier-Stokes equations for uniformly rotating fluids. European J. Mech. B Fluids 15 3 (1996) 291-300
    • (1996) European J. Mech. B Fluids , vol.15 , Issue.3 , pp. 291-300
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 9
    • 0000190618 scopus 로고    scopus 로고
    • Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids
    • Babin A., Mahalov A., and Nicolaenko B. Regularity and integrability of 3D Euler and Navier-Stokes equations for rotating fluids. Asymptot. Anal. 15 2 (1997) 103-150
    • (1997) Asymptot. Anal. , vol.15 , Issue.2 , pp. 103-150
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 10
    • 0012408816 scopus 로고    scopus 로고
    • 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
    • (Special Issue) Dedicated to Professors Ciprian Foias and Roger Temam (Bloomington, IN, 2000)
    • Babin A., Mahalov A., and Nicolaenko B. 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity. (Special Issue). Indiana Univ. Math. J. 50 (2001) 1-35 Dedicated to Professors Ciprian Foias and Roger Temam (Bloomington, IN, 2000)
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 1-35
    • Babin, A.1    Mahalov, A.2    Nicolaenko, B.3
  • 11
    • 0001253082 scopus 로고
    • Existence et unicité de la solution de l'équation d'Euler en dimension deux
    • Bardos C. Existence et unicité de la solution de l'équation d'Euler en dimension deux. J. Math. Anal. Appl. 40 (1972) 769-790
    • (1972) J. Math. Anal. Appl. , vol.40 , pp. 769-790
    • Bardos, C.1
  • 12
    • 84990619144 scopus 로고
    • Fluid dynamic limits of kinetic equations. II. Convergence proofs for the Boltzmann equation
    • Bardos C., Golse F., and Levermore C.D. Fluid dynamic limits of kinetic equations. II. Convergence proofs for the Boltzmann equation. Comm. Pure Appl. Math. 46 5 (1993) 667-753
    • (1993) Comm. Pure Appl. Math. , vol.46 , Issue.5 , pp. 667-753
    • Bardos, C.1    Golse, F.2    Levermore, C.D.3
  • 15
    • 0001076950 scopus 로고
    • Fluid dynamic limits of kinetic equations. I. Formal derivations
    • Bardos C., Golse F., and Levermore D. Fluid dynamic limits of kinetic equations. I. Formal derivations. J. Statist. Phys. 63 1/2 (1991) 323-344
    • (1991) J. Statist. Phys. , vol.63 , Issue.1-2 , pp. 323-344
    • Bardos, C.1    Golse, F.2    Levermore, D.3
  • 16
    • 0001315807 scopus 로고
    • The classical incompressible Navier-Stokes limit of the Boltzmann equation
    • Bardos C., and Ukai S. The classical incompressible Navier-Stokes limit of the Boltzmann equation. Math. Models Methods Appl. Sci. 1 2 (1991) 235-257
    • (1991) Math. Models Methods Appl. Sci. , vol.1 , Issue.2 , pp. 235-257
    • Bardos, C.1    Ukai, S.2
  • 17
    • 0001434442 scopus 로고
    • p-theory for the n-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions
    • p-theory for the n-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions. Comm. Math. Phys. 109 2 (1987) 229-248
    • (1987) Comm. Math. Phys. , vol.109 , Issue.2 , pp. 229-248
    • Beirão da Veiga, H.1
  • 19
    • 21844509597 scopus 로고
    • Singular limits in compressible fluid dynamics
    • Beirão da Veiga H. Singular limits in compressible fluid dynamics. Arch. Rational Mech. Anal. 128 4 (1994) 313-327
    • (1994) Arch. Rational Mech. Anal. , vol.128 , Issue.4 , pp. 313-327
    • Beirão da Veiga, H.1
  • 22
    • 21144469486 scopus 로고
    • Global regularity for vortex patches
    • Bertozzi A.L., and Constantin P. Global regularity for vortex patches. Comm. Math. Phys. 152 1 (1993) 19-28
    • (1993) Comm. Math. Phys. , vol.152 , Issue.1 , pp. 19-28
    • Bertozzi, A.L.1    Constantin, P.2
  • 23
    • 8144227295 scopus 로고
    • Validity of the quasigeostrophic model for large-scale flow in the atmosphere and ocean
    • Bourgeois A.J., and Beale J.T. Validity of the quasigeostrophic model for large-scale flow in the atmosphere and ocean. SIAM J. Math. Anal. 25 4 (1994) 1023-1068
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.4 , pp. 1023-1068
    • Bourgeois, A.J.1    Beale, J.T.2
  • 24
    • 0000373558 scopus 로고    scopus 로고
    • Convergence of the Vlasov-Poisson system to the incompressible Euler equations
    • Brenier Y. Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Comm. Partial Differential Equations 25 3/4 (2000) 737-754
    • (2000) Comm. Partial Differential Equations , vol.25 , Issue.3-4 , pp. 737-754
    • Brenier, Y.1
  • 26
    • 0036702720 scopus 로고    scopus 로고
    • Low Mach number limit of viscous polytropic flows: Formal asymptotics in the periodic case
    • Bresch D., Desjardins B., Grenier E., and Lin C.-K. Low Mach number limit of viscous polytropic flows: Formal asymptotics in the periodic case. Stud. Appl. Math. 109 2 (2002) 125-149
    • (2002) Stud. Appl. Math. , vol.109 , Issue.2 , pp. 125-149
    • Bresch, D.1    Desjardins, B.2    Grenier, E.3    Lin, C.-K.4
  • 27
    • 84887242690 scopus 로고    scopus 로고
    • Asymptotic derivation of a Navier condition for the primitive equations
    • Bresch D., and Masmoudi N. Asymptotic derivation of a Navier condition for the primitive equations. Asymptot. Anal. 33 3/4 (2003) 237-259
    • (2003) Asymptot. Anal. , vol.33 , Issue.3-4 , pp. 237-259
    • Bresch, D.1    Masmoudi, N.2
  • 28
    • 84980175331 scopus 로고
    • The fluid dynamic limit of the nonlinear Boltzmann equation
    • Caflisch R.E. The fluid dynamic limit of the nonlinear Boltzmann equation. Comm. Pure Appl. Math. 33 5 (1980) 651-666
    • (1980) Comm. Pure Appl. Math. , vol.33 , Issue.5 , pp. 651-666
    • Caflisch, R.E.1
  • 29
    • 23044522517 scopus 로고    scopus 로고
    • Existence and singularities for the Prandtl boundary layer equations
    • Special issue on the occasion of the 125th anniversary of the birth of Ludwig Prandtl
    • Caflisch R.E., and Sammartino M. Existence and singularities for the Prandtl boundary layer equations. ZAMM Z. Angew. Math. Mech. 80 11/12 (2000) 733-744 Special issue on the occasion of the 125th anniversary of the birth of Ludwig Prandtl
    • (2000) ZAMM Z. Angew. Math. Mech. , vol.80 , Issue.11-12 , pp. 733-744
    • Caflisch, R.E.1    Sammartino, M.2
  • 32
    • 0037909765 scopus 로고
    • Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
    • Chemin J.-Y. Persistance de structures géométriques dans les fluides incompressibles bidimensionnels. Ann. Sci. École Norm. Sup. (4) 26 4 (1993) 517-542
    • (1993) Ann. Sci. École Norm. Sup. (4) , vol.26 , Issue.4 , pp. 517-542
    • Chemin, J.-Y.1
  • 33
    • 0003312241 scopus 로고
    • Fluides parfaits incompressibles
    • Chemin J.-Y. Fluides parfaits incompressibles. Astérisque 230 (1995)
    • (1995) Astérisque , vol.230
    • Chemin, J.-Y.1
  • 34
    • 0001066894 scopus 로고    scopus 로고
    • A remark on the inviscid limit for two-dimensional incompressible fluids
    • Chemin J.-Y. A remark on the inviscid limit for two-dimensional incompressible fluids. Comm. Partial Differential Equations 21 11/12 (1996) 1771-1779
    • (1996) Comm. Partial Differential Equations , vol.21 , Issue.11-12 , pp. 1771-1779
    • Chemin, J.-Y.1
  • 36
    • 0346997444 scopus 로고    scopus 로고
    • On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
    • Clopeau T., Mikelić A., and Robert R. On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Nonlinearity 11 6 (1998) 1625-1636
    • (1998) Nonlinearity , vol.11 , Issue.6 , pp. 1625-1636
    • Clopeau, T.1    Mikelić, A.2    Robert, R.3
  • 37
    • 0000368396 scopus 로고    scopus 로고
    • Rotating fluid at high Rossby number driven by a surface stress: Existence and convergence
    • Colin T., and Fabrie P. Rotating fluid at high Rossby number driven by a surface stress: Existence and convergence. Adv. Differential Equations 2 5 (1997) 715-751
    • (1997) Adv. Differential Equations , vol.2 , Issue.5 , pp. 715-751
    • Colin, T.1    Fabrie, P.2
  • 38
    • 0001212876 scopus 로고
    • Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations
    • Constantin P. Note on loss of regularity for solutions of the 3-D incompressible Euler and related equations. Comm. Math. Phys. 104 2 (1986) 311-326
    • (1986) Comm. Math. Phys. , vol.104 , Issue.2 , pp. 311-326
    • Constantin, P.1
  • 40
    • 0000514910 scopus 로고
    • Inviscid limit for vortex patches
    • Constantin P., and Wu J. Inviscid limit for vortex patches. Nonlinearity 8 5 (1995) 735-742
    • (1995) Nonlinearity , vol.8 , Issue.5 , pp. 735-742
    • Constantin, P.1    Wu, J.2
  • 41
    • 0001924577 scopus 로고    scopus 로고
    • The inviscid limit for non-smooth vorticity
    • Constantin P., and Wu J. The inviscid limit for non-smooth vorticity. Indiana Univ. Math. J. 45 1 (1996) 67-81
    • (1996) Indiana Univ. Math. J. , vol.45 , Issue.1 , pp. 67-81
    • Constantin, P.1    Wu, J.2
  • 42
    • 0031232107 scopus 로고    scopus 로고
    • Poches de tourbillon visqueuses
    • Danchin R. Poches de tourbillon visqueuses. J. Math. Pures Appl. (9) 76 7 (1997) 609-647
    • (1997) J. Math. Pures Appl. (9) , vol.76 , Issue.7 , pp. 609-647
    • Danchin, R.1
  • 43
    • 0042726966 scopus 로고    scopus 로고
    • Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque
    • Danchin R. Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque. Bull. Soc. Math. France 127 2 (1999) 179-227
    • (1999) Bull. Soc. Math. France , vol.127 , Issue.2 , pp. 179-227
    • Danchin, R.1
  • 44
    • 0034349433 scopus 로고    scopus 로고
    • Global existence in critical spaces for compressible Navier-Stokes equations
    • Danchin R. Global existence in critical spaces for compressible Navier-Stokes equations. Invent. Math. 141 3 (2000) 579-614
    • (2000) Invent. Math. , vol.141 , Issue.3 , pp. 579-614
    • Danchin, R.1
  • 45
    • 0036902394 scopus 로고    scopus 로고
    • Zero Mach number limit for compressible flows with periodic boundary conditions
    • Danchin R. Zero Mach number limit for compressible flows with periodic boundary conditions. Amer. J. Math. 124 6 (2002) 1153-1219
    • (2002) Amer. J. Math. , vol.124 , Issue.6 , pp. 1153-1219
    • Danchin, R.1
  • 46
    • 0036177021 scopus 로고    scopus 로고
    • Zero Mach number limit in critical spaces for compressible Navier-Stokes equations
    • Danchin R. Zero Mach number limit in critical spaces for compressible Navier-Stokes equations. Ann. Sci. École Norm. Sup. (4) 35 1 (2002) 27-75
    • (2002) Ann. Sci. École Norm. Sup. (4) , vol.35 , Issue.1 , pp. 27-75
    • Danchin, R.1
  • 47
    • 22144486905 scopus 로고    scopus 로고
    • Low Mach number limit for viscous compressible flows
    • Danchin R. Low Mach number limit for viscous compressible flows. M2AN Math. Model. Numer. Anal. 39 3 (2005) 459-475
    • (2005) M2AN Math. Model. Numer. Anal. , vol.39 , Issue.3 , pp. 459-475
    • Danchin, R.1
  • 49
    • 84990591606 scopus 로고
    • Incompressible Navier-Stokes and Euler limits of the Boltzmann equation
    • De Masi A., Esposito R., and Lebowitz J.L. Incompressible Navier-Stokes and Euler limits of the Boltzmann equation. Comm. Pure Appl. Math. 42 8 (1989) 1189-1214
    • (1989) Comm. Pure Appl. Math. , vol.42 , Issue.8 , pp. 1189-1214
    • De Masi, A.1    Esposito, R.2    Lebowitz, J.L.3
  • 50
    • 84968509708 scopus 로고
    • Existence de nappes de tourbillon en dimension deux
    • Delort J.-M. Existence de nappes de tourbillon en dimension deux. J.Amer. Math.Soc. 4 3 (1991) 553-586
    • (1991) J.Amer. Math.Soc. , vol.4 , Issue.3 , pp. 553-586
    • Delort, J.-M.1
  • 51
    • 0033096493 scopus 로고    scopus 로고
    • Stability of mixed Ekman-Hartmann boundary layers
    • Desjardins B., Dormy E., and Grenier E. Stability of mixed Ekman-Hartmann boundary layers. Nonlinearity 12 2 (1999) 181-199
    • (1999) Nonlinearity , vol.12 , Issue.2 , pp. 181-199
    • Desjardins, B.1    Dormy, E.2    Grenier, E.3
  • 52
    • 33746402846 scopus 로고    scopus 로고
    • Low Mach number limit of viscous compressible flows in the whole space
    • Desjardins B., and Grenier E. Low Mach number limit of viscous compressible flows in the whole space. R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 455 1986 (1999) 2271-2279
    • (1999) R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. , vol.455 , Issue.1986 , pp. 2271-2279
    • Desjardins, B.1    Grenier, E.2
  • 53
    • 0347354928 scopus 로고    scopus 로고
    • Linear instability implies nonlinear instability for various types of viscous boundary layers
    • Desjardins B., and Grenier E. Linear instability implies nonlinear instability for various types of viscous boundary layers. Ann. Inst. H. Poincaré Anal. Non Linéaire 20 1 (2003) 87-106
    • (2003) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.20 , Issue.1 , pp. 87-106
    • Desjardins, B.1    Grenier, E.2
  • 54
    • 0033542301 scopus 로고    scopus 로고
    • Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
    • Desjardins B., Grenier E., Lions P.-L., and Masmoudi N. Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. J. Math. Pures Appl. (9) 78 5 (1999) 461-471
    • (1999) J. Math. Pures Appl. (9) , vol.78 , Issue.5 , pp. 461-471
    • Desjardins, B.1    Grenier, E.2    Lions, P.-L.3    Masmoudi, N.4
  • 56
    • 0001089576 scopus 로고
    • On the Cauchy problem for Boltzmann equations: Global existence and weak stability
    • DiPerna R.J., and Lions P.-L. On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Ann. of Math. (2) 130 2 (1989) 321-366
    • (1989) Ann. of Math. (2) , vol.130 , Issue.2 , pp. 321-366
    • DiPerna, R.J.1    Lions, P.-L.2
  • 57
    • 84966225077 scopus 로고
    • Reduced Hausdorff dimension and concentration-cancellation for two-dimensional incompressible flow
    • DiPerna R.J., and Majda A. Reduced Hausdorff dimension and concentration-cancellation for two-dimensional incompressible flow. J. Amer. Math. Soc. 1 1 (1988) 59-95
    • (1988) J. Amer. Math. Soc. , vol.1 , Issue.1 , pp. 59-95
    • DiPerna, R.J.1    Majda, A.2
  • 58
    • 84990602493 scopus 로고
    • Concentrations in regularizations for 2-D incompressible flow
    • DiPerna R.J., and Majda A.J. Concentrations in regularizations for 2-D incompressible flow. Comm. Pure Appl. Math. 40 3 (1987) 301-345
    • (1987) Comm. Pure Appl. Math. , vol.40 , Issue.3 , pp. 301-345
    • DiPerna, R.J.1    Majda, A.J.2
  • 59
    • 0000863080 scopus 로고
    • Oscillations and concentrations in weak solutions of the incompressible fluid equations
    • DiPerna R.J., and Majda A.J. Oscillations and concentrations in weak solutions of the incompressible fluid equations. Comm. Math. Phys. 108 4 (1987) 667-689
    • (1987) Comm. Math. Phys. , vol.108 , Issue.4 , pp. 667-689
    • DiPerna, R.J.1    Majda, A.J.2
  • 60
    • 0006415542 scopus 로고    scopus 로고
    • Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
    • Engquist W.E. Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation. Acta Math. Sin. (Engl. Ser.) 16 2 (2000) 207-218
    • (2000) Acta Math. Sin. (Engl. Ser.) , vol.16 , Issue.2 , pp. 207-218
    • Engquist, W.E.1
  • 61
    • 0038911371 scopus 로고    scopus 로고
    • Blowup of solutions of the unsteady Prandtl's equation
    • Engquist W.E., and Engquist B. Blowup of solutions of the unsteady Prandtl's equation. Comm. Pure Appl. Math. 50 12 (1997) 1287-1293
    • (1997) Comm. Pure Appl. Math. , vol.50 , Issue.12 , pp. 1287-1293
    • Engquist, W.E.1    Engquist, B.2
  • 62
    • 0001744061 scopus 로고
    • The motion of slightly compressible fluids viewed as a motion with strong constraining force
    • Ebin D.G. The motion of slightly compressible fluids viewed as a motion with strong constraining force. Ann. of Math. (2) 105 1 (1977) 141-200
    • (1977) Ann. of Math. (2) , vol.105 , Issue.1 , pp. 141-200
    • Ebin, D.G.1
  • 63
    • 0001755104 scopus 로고    scopus 로고
    • Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity
    • Embid P.F., and Majda A.J. Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity. Comm. Partial Differential Equations 21 3/4 (1996) 619-658
    • (1996) Comm. Partial Differential Equations , vol.21 , Issue.3-4 , pp. 619-658
    • Embid, P.F.1    Majda, A.J.2
  • 64
    • 0002024728 scopus 로고    scopus 로고
    • On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable
    • Feireisl E. On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable. Comment. Math. Univ. Carolin. 42 1 (2001) 83-98
    • (2001) Comment. Math. Univ. Carolin. , vol.42 , Issue.1 , pp. 83-98
    • Feireisl, E.1
  • 65
    • 0038021085 scopus 로고    scopus 로고
    • Viscous and/or heat conducting compressible fluids
    • North-Holland, Amsterdam
    • Feireisl E. Viscous and/or heat conducting compressible fluids. Handbook of Mathematical Fluid Dynamics Vol. I (2002), North-Holland, Amsterdam 307-371
    • (2002) Handbook of Mathematical Fluid Dynamics , vol.I , pp. 307-371
    • Feireisl, E.1
  • 67
    • 0001242028 scopus 로고    scopus 로고
    • On integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow
    • Feireisl E., and Petzeltová H. On integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow. Comm. Partial Differential Equations 25 3/4 (2000) 755-767
    • (2000) Comm. Partial Differential Equations , vol.25 , Issue.3-4 , pp. 755-767
    • Feireisl, E.1    Petzeltová, H.2
  • 68
    • 0032325154 scopus 로고    scopus 로고
    • Applications of Schochet's methods to parabolic equations
    • Gallagher I. Applications of Schochet's methods to parabolic equations. J. Math. Pures Appl. (9) 77 10 (1998) 989-1054
    • (1998) J. Math. Pures Appl. (9) , vol.77 , Issue.10 , pp. 989-1054
    • Gallagher, I.1
  • 69
    • 0034558779 scopus 로고    scopus 로고
    • A remark on smooth solutions of the weakly compressible periodic Navier-Stokes equations
    • Gallagher I. A remark on smooth solutions of the weakly compressible periodic Navier-Stokes equations. J. Math. Kyoto Univ. 40 3 (2000) 525-540
    • (2000) J. Math. Kyoto Univ. , vol.40 , Issue.3 , pp. 525-540
    • Gallagher, I.1
  • 70
    • 22144450428 scopus 로고    scopus 로고
    • Résultats récents sur la limite incompressible
    • Gallagher I. Résultats récents sur la limite incompressible. Séminaire Bourbaki 926 (2004)
    • (2004) Séminaire Bourbaki , vol.926
    • Gallagher, I.1
  • 71
    • 84963145267 scopus 로고
    • Another step toward the solution of the Pompeiu problem in the plane
    • Garofalo N., and Segàla F. Another step toward the solution of the Pompeiu problem in the plane. Comm. Partial Differential Equations 18 3/4 (1993) 491-503
    • (1993) Comm. Partial Differential Equations , vol.18 , Issue.3-4 , pp. 491-503
    • Garofalo, N.1    Segàla, F.2
  • 73
    • 0242636084 scopus 로고    scopus 로고
    • Highly rotating fluids in rough domains
    • Gérard-Varet D. Highly rotating fluids in rough domains. J. Math. Pures Appl. (9) 82 11 (2003) 1453-1498
    • (2003) J. Math. Pures Appl. (9) , vol.82 , Issue.11 , pp. 1453-1498
    • Gérard-Varet, D.1
  • 74
    • 0036108339 scopus 로고    scopus 로고
    • Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs
    • Golse F., and Levermore C.D. Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs. Comm. Pure Appl. Math. 55 3 (2002) 336-393
    • (2002) Comm. Pure Appl. Math. , vol.55 , Issue.3 , pp. 336-393
    • Golse, F.1    Levermore, C.D.2
  • 75
    • 45549114712 scopus 로고
    • Regularity of the moments of the solution of a transport equation
    • Golse F., Lions P.-L., Perthame B., and Sentis R. Regularity of the moments of the solution of a transport equation. J. Funct. Anal. 76 1 (1988) 110-125
    • (1988) J. Funct. Anal. , vol.76 , Issue.1 , pp. 110-125
    • Golse, F.1    Lions, P.-L.2    Perthame, B.3    Sentis, R.4
  • 76
    • 0000053323 scopus 로고
    • Un résultat de compacité pour les équations de transport et application au calcul de la limite de la valeur propre principale d'un opérateur de transport
    • Golse F., Perthame B., and Sentis R. Un résultat de compacité pour les équations de transport et application au calcul de la limite de la valeur propre principale d'un opérateur de transport. C. R. Acad. Sci. Paris Sér. I Math. 301 7 (1985) 341-344
    • (1985) C. R. Acad. Sci. Paris Sér. I Math. , vol.301 , Issue.7 , pp. 341-344
    • Golse, F.1    Perthame, B.2    Sentis, R.3
  • 79
    • 0742323595 scopus 로고    scopus 로고
    • The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
    • Golse F., and Saint-Raymond L. The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Invent. Math. 155 1 (2004) 81-161
    • (2004) Invent. Math. , vol.155 , Issue.1 , pp. 81-161
    • Golse, F.1    Saint-Raymond, L.2
  • 81
    • 0031161337 scopus 로고    scopus 로고
    • Oscillatory perturbations of the Navier-Stokes equations
    • Grenier E. Oscillatory perturbations of the Navier-Stokes equations. J. Math. Pures Appl. (9) 76 6 (1997) 477-498
    • (1997) J. Math. Pures Appl. (9) , vol.76 , Issue.6 , pp. 477-498
    • Grenier, E.1
  • 82
    • 0034403210 scopus 로고    scopus 로고
    • On the nonlinear instability of Euler and Prandtl equations
    • Grenier E. On the nonlinear instability of Euler and Prandtl equations. Comm. Pure Appl. Math. 53 9 (2000) 1067-1091
    • (2000) Comm. Pure Appl. Math. , vol.53 , Issue.9 , pp. 1067-1091
    • Grenier, E.1
  • 84
    • 0001052077 scopus 로고    scopus 로고
    • Ekman layers of rotating fluidsthe case of well prepared initial data
    • Grenier E., and Masmoudi N. Ekman layers of rotating fluidsthe case of well prepared initial data. Comm. Partial Differential Equations 22 5/6 (1997) 953-975
    • (1997) Comm. Partial Differential Equations , vol.22 , Issue.5-6 , pp. 953-975
    • Grenier, E.1    Masmoudi, N.2
  • 85
    • 0039300616 scopus 로고
    • Généralisation formelle du théorème H en présence de parois
    • Guiraud J.-P., and Darrozès J.-S. Généralisation formelle du théorème H en présence de parois. C.R. Acad. Sci. Paris 262 (1966) 368-371
    • (1966) C.R. Acad. Sci. Paris , vol.262 , pp. 368-371
    • Guiraud, J.-P.1    Darrozès, J.-S.2
  • 87
    • 0032370730 scopus 로고    scopus 로고
    • All-time existence of classical solutions for slightly compressible flows
    • (electronic)
    • Hagstrom T., and Lorenz J. All-time existence of classical solutions for slightly compressible flows. SIAM J. Math. Anal. 29 3 (1998) 652-672 (electronic)
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.3 , pp. 652-672
    • Hagstrom, T.1    Lorenz, J.2
  • 88
    • 0001243518 scopus 로고
    • Begründung der kinetischen Gastheorie
    • Hilbert D. Begründung der kinetischen Gastheorie. Math. Annalen 72 (1912) 562-577
    • (1912) Math. Annalen , vol.72 , pp. 562-577
    • Hilbert, D.1
  • 89
    • 0000385168 scopus 로고    scopus 로고
    • The zero-Mach limit of compressible flows
    • Hoff D. The zero-Mach limit of compressible flows. Comm. Math. Phys. 192 3 (1998) 543-554
    • (1998) Comm. Math. Phys. , vol.192 , Issue.3 , pp. 543-554
    • Hoff, D.1
  • 90
    • 84944818416 scopus 로고
    • Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen
    • Hopf E. Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Math. Nachr. 4 (1951) 213-231
    • (1951) Math. Nachr. , vol.4 , pp. 213-231
    • Hopf, E.1
  • 91
    • 0035915866 scopus 로고    scopus 로고
    • Some results on the Navier-Stokes equations in thin 3D domains
    • Special issue in celebration of Jack K. Hale's 70th birthday, Part 4 (Atlanta, GA/Lisbon, 1998)
    • Iftimie D., and Raugel G. Some results on the Navier-Stokes equations in thin 3D domains. J. Differential Equations 169 2 (2001) 281-331 Special issue in celebration of Jack K. Hale's 70th birthday, Part 4 (Atlanta, GA/Lisbon, 1998)
    • (2001) J. Differential Equations , vol.169 , Issue.2 , pp. 281-331
    • Iftimie, D.1    Raugel, G.2
  • 92
    • 0012275850 scopus 로고
    • Singular limits for the compressible Euler equation in an exterior domain
    • Isozaki H. Singular limits for the compressible Euler equation in an exterior domain. J. Reine Angew. Math. 381 (1987) 1-36
    • (1987) J. Reine Angew. Math. , vol.381 , pp. 1-36
    • Isozaki, H.1
  • 93
    • 0012281255 scopus 로고
    • Wave operators and the incompressible limit of the compressible Euler equation
    • Isozaki H. Wave operators and the incompressible limit of the compressible Euler equation. Comm. Math. Phys. 110 3 (1987) 519-524
    • (1987) Comm. Math. Phys. , vol.110 , Issue.3 , pp. 519-524
    • Isozaki, H.1
  • 94
    • 0002985997 scopus 로고
    • Coherent and focusing multidimensional nonlinear geometric optics
    • Joly J.-L., Métivier G., and Rauch J. Coherent and focusing multidimensional nonlinear geometric optics. Ann. Sci. École Norm. Sup. (4) 28 1 (1995) 51-113
    • (1995) Ann. Sci. École Norm. Sup. (4) , vol.28 , Issue.1 , pp. 51-113
    • Joly, J.-L.1    Métivier, G.2    Rauch, J.3
  • 96
    • 0040652193 scopus 로고
    • Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary
    • Springer-Verlag,, New York
    • Kato T. Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Seminar on Nonlinear Partial Differential Equations (Berkeley, CA, 1983) (1984), Springer-Verlag,, New York 85-98
    • (1984) Seminar on Nonlinear Partial Differential Equations (Berkeley, CA, 1983) , pp. 85-98
    • Kato, T.1
  • 97
    • 84980156074 scopus 로고
    • Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
    • Klainerman S., and Majda A. Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids. Comm. Pure Appl. Math. 34 4 (1981) 481-524
    • (1981) Comm. Pure Appl. Math. , vol.34 , Issue.4 , pp. 481-524
    • Klainerman, S.1    Majda, A.2
  • 98
    • 84990557419 scopus 로고
    • Compressible and incompressible fluids
    • Klainerman S., and Majda A. Compressible and incompressible fluids. Comm. Pure Appl. Math. 35 5 (1982) 629-651
    • (1982) Comm. Pure Appl. Math. , vol.35 , Issue.5 , pp. 629-651
    • Klainerman, S.1    Majda, A.2
  • 99
    • 84980143584 scopus 로고
    • Problems with different time scales for partial differential equations
    • Kreiss H.-O. Problems with different time scales for partial differential equations. Comm. Pure Appl. Math. 33 3 (1980) 399-439
    • (1980) Comm. Pure Appl. Math. , vol.33 , Issue.3 , pp. 399-439
    • Kreiss, H.-O.1
  • 100
    • 0023501738 scopus 로고
    • On the initial layer and the existence theorem for the nonlinear Boltzmann equation
    • Lachowicz M. On the initial layer and the existence theorem for the nonlinear Boltzmann equation. Math. Methods Appl. Sci. 9 3 (1987) 342-366
    • (1987) Math. Methods Appl. Sci. , vol.9 , Issue.3 , pp. 342-366
    • Lachowicz, M.1
  • 102
    • 0003068173 scopus 로고
    • Etude de diverses équations intégrales nonlinéaires et de quelques problèmes que pose l'hydrodynamique
    • Leray J. Etude de diverses équations intégrales nonlinéaires et de quelques problèmes que pose l'hydrodynamique. J. Math. Pures Appl. 12 (1933) 1-82
    • (1933) J. Math. Pures Appl. , vol.12 , pp. 1-82
    • Leray, J.1
  • 103
    • 51249193194 scopus 로고
    • Essai sur les mouvements plans d'un liquide visqueux emplissant l'espace
    • Leray J. Essai sur les mouvements plans d'un liquide visqueux emplissant l'espace. Acta. Math. 63 (1934) 193-248
    • (1934) Acta. Math. , vol.63 , pp. 193-248
    • Leray, J.1
  • 104
    • 0000221349 scopus 로고
    • Essai sur les mouvements plans d'un liquide visqueux qui limitent des parois
    • Leray J. Essai sur les mouvements plans d'un liquide visqueux qui limitent des parois. J.Math. Pures Appl. 13 (1934) 331-418
    • (1934) J.Math. Pures Appl. , vol.13 , pp. 331-418
    • Leray, J.1
  • 106
    • 0001538877 scopus 로고
    • On the incompressible limit of the compressible Navier-Stokes equations
    • Lin C.K. On the incompressible limit of the compressible Navier-Stokes equations. Comm. Partial Differential Equations 20 3/4 (1995) 677-707
    • (1995) Comm. Partial Differential Equations , vol.20 , Issue.3-4 , pp. 677-707
    • Lin, C.K.1
  • 110
    • 0033560426 scopus 로고    scopus 로고
    • Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet
    • Lions P.-L. Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet. C. R. Acad. Sci. Paris Sér. I Math. 328 8 (1999) 659-662
    • (1999) C. R. Acad. Sci. Paris Sér. I Math. , vol.328 , Issue.8 , pp. 659-662
    • Lions, P.-L.1
  • 111
    • 0032085754 scopus 로고    scopus 로고
    • Incompressible limit for a viscous compressible fluid
    • Lions P.-L., and Masmoudi N. Incompressible limit for a viscous compressible fluid. J. Math. Pures Appl. (9) 77 6 (1998) 585-627
    • (1998) J. Math. Pures Appl. (9) , vol.77 , Issue.6 , pp. 585-627
    • Lions, P.-L.1    Masmoudi, N.2
  • 114
    • 0035616508 scopus 로고    scopus 로고
    • From the Boltzmann equations to the equations of incompressible fluid mechanics. I
    • Lions P.-L., and Masmoudi N. From the Boltzmann equations to the equations of incompressible fluid mechanics. I. Arch. Ration. Mech. Anal. 158 3 (2001) 173-193
    • (2001) Arch. Ration. Mech. Anal. , vol.158 , Issue.3 , pp. 173-193
    • Lions, P.-L.1    Masmoudi, N.2
  • 115
    • 0035614842 scopus 로고    scopus 로고
    • From the Boltzmann equations to the equations of incompressible fluid mechanics. II
    • Lions P.-L., and Masmoudi N. From the Boltzmann equations to the equations of incompressible fluid mechanics. II. Arch. Ration. Mech. Anal. 158 3 (2001) 195-211
    • (2001) Arch. Ration. Mech. Anal. , vol.158 , Issue.3 , pp. 195-211
    • Lions, P.-L.1    Masmoudi, N.2
  • 116
    • 11844249392 scopus 로고    scopus 로고
    • Homogenization of the Euler system in a 2D porous medium
    • Lions P.-L., and Masmoudi N. Homogenization of the Euler system in a 2D porous medium. J. Math. Pures Appl. (9) 84 1 (2005) 1-20
    • (2005) J. Math. Pures Appl. (9) , vol.84 , Issue.1 , pp. 1-20
    • Lions, P.-L.1    Masmoudi, N.2
  • 117
    • 0003202932 scopus 로고
    • Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
    • Springer-Verlag, New York
    • Majda A. Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables. Applied Mathematical Sciences Vol. 53 (1984), Springer-Verlag, New York
    • (1984) Applied Mathematical Sciences , vol.53
    • Majda, A.1
  • 118
    • 16244386948 scopus 로고    scopus 로고
    • Introduction to PDEs and Waves for the Atmosphere and Ocean
    • New York University Courant Institute of Mathematical Sciences, New York
    • Majda A. Introduction to PDEs and Waves for the Atmosphere and Ocean. Courant Lecture Notes in Mathematics Vol. 9 (2003), New York University Courant Institute of Mathematical Sciences, New York
    • (2003) Courant Lecture Notes in Mathematics , vol.9
    • Majda, A.1
  • 119
    • 0242618501 scopus 로고    scopus 로고
    • Vorticity and Incompressible Flow
    • Cambridge University Press, Cambridge
    • Majda A.J., and Bertozzi A.L. Vorticity and Incompressible Flow. Cambridge Texts in Applied Mathematics Vol. 27 (2002), Cambridge University Press, Cambridge
    • (2002) Cambridge Texts in Applied Mathematics , vol.27
    • Majda, A.J.1    Bertozzi, A.L.2
  • 120
    • 0032474982 scopus 로고    scopus 로고
    • On the inviscid limit for a fluid with a concentrated vorticity
    • Marchioro C. On the inviscid limit for a fluid with a concentrated vorticity. Comm. Math.Phys. 196 1 (1998) 53-65
    • (1998) Comm. Math.Phys. , vol.196 , Issue.1 , pp. 53-65
    • Marchioro, C.1
  • 121
    • 0141947467 scopus 로고
    • Vortex Methods in Two-Dimensional Fluid Dynamics
    • Springer-Verlag, Berlin
    • Marchioro C., and Pulvirenti M. Vortex Methods in Two-Dimensional Fluid Dynamics. Lecture Notes in Physics Vol. 203 (1984), Springer-Verlag, Berlin
    • (1984) Lecture Notes in Physics , vol.203
    • Marchioro, C.1    Pulvirenti, M.2
  • 122
    • 0003269966 scopus 로고
    • Mathematical Theory of Incompressible Nonviscous Fluids
    • Springer-Verlag, New York
    • Marchioro C., and Pulvirenti M. Mathematical Theory of Incompressible Nonviscous Fluids. Applied Mathematical Sciences Vol. 96 (1994), Springer-Verlag, New York
    • (1994) Applied Mathematical Sciences , vol.96
    • Marchioro, C.1    Pulvirenti, M.2
  • 123
    • 0032382509 scopus 로고    scopus 로고
    • The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary
    • Masmoudi N. The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary. Arch. Rational Mech. Anal. 142 4 (1998) 375-394
    • (1998) Arch. Rational Mech. Anal. , vol.142 , Issue.4 , pp. 375-394
    • Masmoudi, N.1
  • 124
    • 33748749848 scopus 로고    scopus 로고
    • Asymptotic problems and compressible-incompressible limit
    • Springer-Verlag, Berlin
    • Masmoudi N. Asymptotic problems and compressible-incompressible limit. Advances in Mathematical Fluid Mechanics (Paseky, 1999) (2000), Springer-Verlag, Berlin 119-158
    • (2000) Advances in Mathematical Fluid Mechanics (Paseky, 1999) , pp. 119-158
    • Masmoudi, N.1
  • 125
    • 0034383413 scopus 로고    scopus 로고
    • Ekman layers of rotating fluids: The case of general initial data
    • Masmoudi N. Ekman layers of rotating fluids: The case of general initial data. Comm. Pure Appl. Math. 53 4 (2000) 432-483
    • (2000) Comm. Pure Appl. Math. , vol.53 , Issue.4 , pp. 432-483
    • Masmoudi, N.1
  • 126
    • 0041862103 scopus 로고    scopus 로고
    • From Vlasov-Poisson system to the incompressible Euler system
    • Masmoudi N. From Vlasov-Poisson system to the incompressible Euler system. Comm. Partial Differential Equations 26 9/10 (2001) 1913-1928
    • (2001) Comm. Partial Differential Equations , vol.26 , Issue.9-10 , pp. 1913-1928
    • Masmoudi, N.1
  • 127
    • 0012100552 scopus 로고    scopus 로고
    • Incompressible, inviscid limit of the compressible Navier-Stokes system
    • Masmoudi N. Incompressible, inviscid limit of the compressible Navier-Stokes system. Ann. Inst. H. Poincaré Anal. Non Linéaire 18 2 (2001) 199-224
    • (2001) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.18 , Issue.2 , pp. 199-224
    • Masmoudi, N.1
  • 128
    • 10644275852 scopus 로고    scopus 로고
    • Some uniform elliptic estimates in a porous medium
    • Masmoudi N. Some uniform elliptic estimates in a porous medium. C. R. Math. Acad. Sci. Paris (12) 339 (2004) 849-854
    • (2004) C. R. Math. Acad. Sci. Paris (12) , vol.339 , pp. 849-854
    • Masmoudi, N.1
  • 130
    • 0037242247 scopus 로고    scopus 로고
    • Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger
    • Masmoudi N., and Nakanishi K. Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger. Int. Math. Res. Not. 13 (2003) 697-734
    • (2003) Int. Math. Res. Not. , vol.13 , pp. 697-734
    • Masmoudi, N.1    Nakanishi, K.2
  • 131
    • 42449094372 scopus 로고    scopus 로고
    • From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation
    • Masmoudi N., and Nakanishi K. From the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation. J. Hyperbolic Differ. Equ. 2 4 (2005) 975-1008
    • (2005) J. Hyperbolic Differ. Equ. , vol.2 , Issue.4 , pp. 975-1008
    • Masmoudi, N.1    Nakanishi, K.2
  • 132
    • 0042843384 scopus 로고    scopus 로고
    • From the Boltzmann equation to the Stokes-Fourier system in a bounded domain
    • Masmoudi N., and Saint-Raymond L. From the Boltzmann equation to the Stokes-Fourier system in a bounded domain. Comm. Pure Appl. Math. 56 9 (2003) 1263-1293
    • (2003) Comm. Pure Appl. Math. , vol.56 , Issue.9 , pp. 1263-1293
    • Masmoudi, N.1    Saint-Raymond, L.2
  • 133
    • 0035644949 scopus 로고    scopus 로고
    • The incompressible limit of the non-isentropic Euler equations
    • Métivier G., and Schochet S. The incompressible limit of the non-isentropic Euler equations. Arch. Ration. Mech. Anal. 158 1 (2001) 61-90
    • (2001) Arch. Ration. Mech. Anal. , vol.158 , Issue.1 , pp. 61-90
    • Métivier, G.1    Schochet, S.2
  • 134
    • 0037222786 scopus 로고    scopus 로고
    • Averaging theorems for conservative systems and the weakly compressible Euler equations
    • Métivier G., and Schochet S. Averaging theorems for conservative systems and the weakly compressible Euler equations. J. Differential Equations 187 1 (2003) 106-183
    • (2003) J. Differential Equations , vol.187 , Issue.1 , pp. 106-183
    • Métivier, G.1    Schochet, S.2
  • 135
    • 0001219949 scopus 로고
    • Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary
    • Mikelić A. Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary. Ann. Mat. Pura Appl. (4) 158 (1991) 167-179
    • (1991) Ann. Mat. Pura Appl. (4) , vol.158 , pp. 167-179
    • Mikelić, A.1
  • 136
    • 0034348887 scopus 로고    scopus 로고
    • On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
    • Mischler S. On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system. Comm. Math. Phys. 210 2 (2000) 447-466
    • (2000) Comm. Math. Phys. , vol.210 , Issue.2 , pp. 447-466
    • Mischler, S.1
  • 137
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • Nguetseng G. A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20 3 (1989) 608-623
    • (1989) SIAM J. Math. Anal. , vol.20 , Issue.3 , pp. 608-623
    • Nguetseng, G.1
  • 138
    • 0000315622 scopus 로고
    • Asymptotic analysis for a stiff variational problem arising in mechanics
    • Nguetseng G. Asymptotic analysis for a stiff variational problem arising in mechanics. SIAM J. Math. Anal. 21 6 (1990) 1394-1414
    • (1990) SIAM J. Math. Anal. , vol.21 , Issue.6 , pp. 1394-1414
    • Nguetseng, G.1
  • 140
    • 0009044648 scopus 로고
    • On the system of Prandtl equations in boundary-layer theory
    • Oleinik O.A. On the system of Prandtl equations in boundary-layer theory. Dokl. Akad. Nauk SSSR 150 (1963) 28-31
    • (1963) Dokl. Akad. Nauk SSSR , vol.150 , pp. 28-31
    • Oleinik, O.A.1
  • 141
    • 0039283401 scopus 로고
    • On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid
    • Oleinik O.A. On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid. J. Appl. Math. Mech. 30 1967 (1966) 951-974
    • (1966) J. Appl. Math. Mech. , vol.30 , Issue.1967 , pp. 951-974
    • Oleinik, O.A.1
  • 143
    • 0742289222 scopus 로고    scopus 로고
    • Étude asymptotique pour les fluides anisotropes en rotation rapide dans le cas périodique
    • Paicu M. Étude asymptotique pour les fluides anisotropes en rotation rapide dans le cas périodique. J. Math. Pures Appl. (9) 83 2 (2004) 163-242
    • (2004) J. Math. Pures Appl. (9) , vol.83 , Issue.2 , pp. 163-242
    • Paicu, M.1
  • 145
    • 66049094077 scopus 로고
    • Verhandlung Internationalen Mathematiker-Kongresses, Heidelberg
    • Prandtl L. Boundary layer (1904), Verhandlung Internationalen Mathematiker-Kongresses, Heidelberg 484-491
    • (1904) Boundary layer , pp. 484-491
    • Prandtl, L.1
  • 146
    • 0012877087 scopus 로고
    • Navier-Stokes equations in thin 3D domains. III. Existence of a global attractor
    • Springer-Verlag, New York
    • Raugel G., and Sell G.R. Navier-Stokes equations in thin 3D domains. III. Existence of a global attractor. Turbulence in Fluid Flows, IMA Vol. Math. Appl. Vol. 55 (1993), Springer-Verlag, New York 137-163
    • (1993) Turbulence in Fluid Flows, IMA Vol. Math. Appl. , vol.55 , pp. 137-163
    • Raugel, G.1    Sell, G.R.2
  • 147
    • 1642305639 scopus 로고    scopus 로고
    • Large mixed Ekman-Hartmann boundary layers in magnetohydrodynamics
    • Rousset F. Large mixed Ekman-Hartmann boundary layers in magnetohydrodynamics. Nonlinearity 17 2 (2004) 503-518
    • (2004) Nonlinearity , vol.17 , Issue.2 , pp. 503-518
    • Rousset, F.1
  • 148
    • 2442715112 scopus 로고    scopus 로고
    • Stability of large Ekman boundary layers in rotating fluids
    • Rousset F. Stability of large Ekman boundary layers in rotating fluids. Arch. Ration. Mech. Anal. 172 2 (2004) 213-245
    • (2004) Arch. Ration. Mech. Anal. , vol.172 , Issue.2 , pp. 213-245
    • Rousset, F.1
  • 149
    • 0037237744 scopus 로고    scopus 로고
    • Convergence of solutions to the Boltzmann equation in the incompressible Euler limit
    • Saint-Raymond L. Convergence of solutions to the Boltzmann equation in the incompressible Euler limit. Arch. Ration. Mech. Anal. 166 1 (2003) 47-80
    • (2003) Arch. Ration. Mech. Anal. , vol.166 , Issue.1 , pp. 47-80
    • Saint-Raymond, L.1
  • 150
    • 0032371860 scopus 로고    scopus 로고
    • Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I. Existence for Euler and Prandtl equations
    • Sammartino M., and Caflisch R.E. Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I. Existence for Euler and Prandtl equations. Comm. Math. Phys. 192 2 (1998) 433-461
    • (1998) Comm. Math. Phys. , vol.192 , Issue.2 , pp. 433-461
    • Sammartino, M.1    Caflisch, R.E.2
  • 151
    • 84875267000 scopus 로고    scopus 로고
    • Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II. Construction of the Navier-Stokes solution
    • Sammartino M., and Caflisch R.E. Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II. Construction of the Navier-Stokes solution. Comm. Math. Phys. 192 2 (1998) 463-491
    • (1998) Comm. Math. Phys. , vol.192 , Issue.2 , pp. 463-491
    • Sammartino, M.1    Caflisch, R.E.2
  • 153
    • 0002442528 scopus 로고
    • The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
    • Schochet S. The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit. Comm. Math.Phys. 104 1 (1986) 49-75
    • (1986) Comm. Math.Phys. , vol.104 , Issue.1 , pp. 49-75
    • Schochet, S.1
  • 154
    • 43949155251 scopus 로고
    • Fast singular limits of hyperbolic PDEs
    • Schochet S. Fast singular limits of hyperbolic PDEs. J. Differential Equations 114 2 (1994) 476-512
    • (1994) J. Differential Equations , vol.114 , Issue.2 , pp. 476-512
    • Schochet, S.1
  • 155
    • 22144482698 scopus 로고    scopus 로고
    • The mathematical theory of low Mach number flows
    • Schochet S. The mathematical theory of low Mach number flows. M2AN Math. Model. Numer. Anal. 39 3 (2005) 441-458
    • (2005) M2AN Math. Model. Numer. Anal. , vol.39 , Issue.3 , pp. 441-458
    • Schochet, S.1
  • 156
    • 0004322720 scopus 로고    scopus 로고
    • Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, Boston, MA
    • Sone Y. Kinetic Theory and Fluid Dynamics (2002), Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, Boston, MA
    • (2002) Kinetic Theory and Fluid Dynamics
    • Sone, Y.1
  • 158
    • 84972553620 scopus 로고
    • Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
    • Strichartz R.S. Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations. Duke Math. J. 44 3 (1977) 705-714
    • (1977) Duke Math. J. , vol.44 , Issue.3 , pp. 705-714
    • Strichartz, R.S.1
  • 160
    • 0002117462 scopus 로고
    • Incompressible fluid flow in a porous medium: Convergence of the homogenization process
    • Sánchez-Palencia E. (Ed) ed.
    • Tartar L. Incompressible fluid flow in a porous medium: Convergence of the homogenization process. In: Sánchez-Palencia E. (Ed). Nonhomogeneous Media and Vibration Theory (1980) 368-377 ed.
    • (1980) Nonhomogeneous Media and Vibration Theory , pp. 368-377
    • Tartar, L.1
  • 161
    • 84974050752 scopus 로고
    • H -measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
    • Tartar L. H -measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations. Proc. Roy. Soc. Edinburgh Sect. A 115 3/4 (1990) 193-230
    • (1990) Proc. Roy. Soc. Edinburgh Sect. A , vol.115 , Issue.3-4 , pp. 193-230
    • Tartar, L.1
  • 162
    • 0039495612 scopus 로고
    • On the Euler equations of incompressible perfect fluids
    • Temam R. On the Euler equations of incompressible perfect fluids. J. Functional Analysis 20 1 (1975) 32-43
    • (1975) J. Functional Analysis , vol.20 , Issue.1 , pp. 32-43
    • Temam, R.1
  • 164
    • 0040095474 scopus 로고    scopus 로고
    • The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations
    • Temam R., and Wang X. The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Appl. Math. Lett. 10 5 (1997) 29-33
    • (1997) Appl. Math. Lett. , vol.10 , Issue.5 , pp. 29-33
    • Temam, R.1    Wang, X.2
  • 165
    • 0036496598 scopus 로고    scopus 로고
    • Boundary layers associated with incompressible Navier-Stokes equations: The noncharacteristic boundary case
    • Temam R., and Wang X. Boundary layers associated with incompressible Navier-Stokes equations: The noncharacteristic boundary case. J. Differential Equations 179 2 (2002) 647-686
    • (2002) J. Differential Equations , vol.179 , Issue.2 , pp. 647-686
    • Temam, R.1    Wang, X.2
  • 166
    • 0000570341 scopus 로고
    • The incompressible limit and the initial layer of the compressible Euler equation
    • Ukai S. The incompressible limit and the initial layer of the compressible Euler equation. J. Math. Kyoto Univ. 26 2 (1986) 323-331
    • (1986) J. Math. Kyoto Univ. , vol.26 , Issue.2 , pp. 323-331
    • Ukai, S.1
  • 167
    • 0000537351 scopus 로고
    • The Euler limit and initial layer of the nonlinear Boltzmann equation
    • Ukai S., and Asano K. The Euler limit and initial layer of the nonlinear Boltzmann equation. Hokkaido Math. J. 12 3, part 1 (1983) 311-332
    • (1983) Hokkaido Math. J. , vol.12 , Issue.3 PART 1 , pp. 311-332
    • Ukai, S.1    Asano, K.2
  • 168
    • 0038413035 scopus 로고    scopus 로고
    • A review of mathematical problems in collisional kinetic theory
    • Friedlander S., and Serre D. (Eds), North-Holland, Amsterdam eds.
    • Villani C. A review of mathematical problems in collisional kinetic theory. In: Friedlander S., and Serre D. (Eds). Handbook of Mathematical Fluid Dynamics Vol. II (2003), North-Holland, Amsterdam eds.
    • (2003) Handbook of Mathematical Fluid Dynamics , vol.II
    • Villani, C.1
  • 169
    • 0039841935 scopus 로고    scopus 로고
    • A Kato type theorem on zero viscosity limit of Navier-Stokes flows
    • Dedicated to Professors Ciprian Foias and Roger Temam (Bloomington, IN, 2000)
    • Wang X. A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Indiana Univ. Math. J. 50 Special Issue (2001) 223-241 Dedicated to Professors Ciprian Foias and Roger Temam (Bloomington, IN, 2000)
    • (2001) Indiana Univ. Math. J. , vol.50 , Issue.SPEC. ISSUE , pp. 223-241
    • Wang, X.1
  • 170
    • 4544241853 scopus 로고    scopus 로고
    • Infinite Prandtl number limit of Rayleigh-Bénard convection
    • Wang X. Infinite Prandtl number limit of Rayleigh-Bénard convection. Comm. Pure Appl. Math. 57 10 (2004) 1265-1282
    • (2004) Comm. Pure Appl. Math. , vol.57 , Issue.10 , pp. 1265-1282
    • Wang, X.1
  • 171
    • 34250940791 scopus 로고
    • Un theorème sur l'existence du mouvement plan d'un fluide parfait, homogène, incompressible, pendant un temps infiniment long
    • Wolibner W. Un theorème sur l'existence du mouvement plan d'un fluide parfait, homogène, incompressible, pendant un temps infiniment long. Math. Z. 37 1 (1933) 698-726
    • (1933) Math. Z. , vol.37 , Issue.1 , pp. 698-726
    • Wolibner, W.1
  • 172
    • 0031506263 scopus 로고    scopus 로고
    • Well-posedness in Sobolev spaces of the full water wave problem in 2-D
    • Wu S. Well-posedness in Sobolev spaces of the full water wave problem in 2-D. Invent. Math. 130 (1997) 39-72
    • (1997) Invent. Math. , vol.130 , pp. 39-72
    • Wu, S.1
  • 173
    • 0346401385 scopus 로고    scopus 로고
    • On the global existence of solutions to the Prandtl's system
    • Xin Z., and Zhang L. On the global existence of solutions to the Prandtl's system. Adv. Math. 181 1 (2004) 88-133
    • (2004) Adv. Math. , vol.181 , Issue.1 , pp. 88-133
    • Xin, Z.1    Zhang, L.2
  • 174
    • 0003135582 scopus 로고
    • Relative entropy and hydrodynamics of Ginzburg-Landau models
    • Yau H.-T. Relative entropy and hydrodynamics of Ginzburg-Landau models. Lett. Math. Phys. 22 1 (1991) 63-80
    • (1991) Lett. Math. Phys. , vol.22 , Issue.1 , pp. 63-80
    • Yau, H.-T.1
  • 175
    • 0001751564 scopus 로고
    • Non-stationary flows of an ideal incompressible fluid
    • Yudovich V.I. Non-stationary flows of an ideal incompressible fluid. Z. Vychisl. Mat. i Mat. Fiz. 3 (1963) 1032-1066
    • (1963) Z. Vychisl. Mat. i Mat. Fiz. , vol.3 , pp. 1032-1066
    • Yudovich, V.I.1
  • 176
    • 0141498631 scopus 로고    scopus 로고
    • Asymptotic Modelling of Fluid Flow Phenomena
    • Kluwer, Dordrecht
    • Zeytounian R.K. Asymptotic Modelling of Fluid Flow Phenomena. Fluid Mechanics and Its Applications Vol. 64 (2002), Kluwer, Dordrecht
    • (2002) Fluid Mechanics and Its Applications , vol.64
    • Zeytounian, R.K.1


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