메뉴 건너뛰기




Volumn 53, Issue 9, 2000, Pages 1067-1091

On the nonlinear instability of euler and prandtl equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034403210     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0312(200009)53:9<1067::AID-CPA1>3.0.CO;2-Q     Document Type: Article
Times cited : (272)

References (24)
  • 1
    • 0001356905 scopus 로고
    • Sur la géométrie différentielle des groupes de lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits
    • fasc. 1
    • Arnold, V. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits. Ann. Inst. Fourier (Grenoble) 16 (1966) fasc. 1, 319-361.
    • (1966) Ann. Inst. Fourier (Grenoble) , vol.16 , pp. 319-361
    • Arnold, V.1
  • 3
    • 0033130274 scopus 로고    scopus 로고
    • Homogeneous hydrostatic flows with convex velocity profiles
    • Brenier, Y. Homogeneous hydrostatic flows with convex velocity profiles. Nonlinearity 12 (1999), no. 3, 495-512.
    • (1999) Nonlinearity , vol.12 , Issue.3 , pp. 495-512
    • Brenier, Y.1
  • 4
    • 0009049611 scopus 로고    scopus 로고
    • Derivation of quasi-geostrophic potential vorticity equations
    • Desjardins, B.; Grenier, E. Derivation of quasi-geostrophic potential vorticity equations. Adv. Differential Equations 3 (1998), no. 5, 715-752.
    • (1998) Adv. Differential Equations , vol.3 , Issue.5 , pp. 715-752
    • Desjardins, B.1    Grenier, E.2
  • 6
    • 0038911371 scopus 로고    scopus 로고
    • Blowup of solutions to the unsteady Prandtl's equation
    • E, W.
    • E, W.; Engquist, B. Blowup of solutions to the unsteady Prandtl's equation. Comm. Pure Appl. Math. 50 (1997), no. 12, 1287-1293.
    • (1997) Comm. Pure Appl. Math. , vol.50 , Issue.12 , pp. 1287-1293
    • Engquist, B.1
  • 8
    • 0004071999 scopus 로고
    • The theory of rotating fluids
    • Reprint of the 1968 original. Cambridge University, Cambridge-New York
    • Greenspan, H. P. The theory of rotating fluids. Reprint of the 1968 original. Cambridge Monographs on Mechanics and Applied Mathematics. Cambridge University, Cambridge-New York, 1980
    • (1980) Cambridge Monographs on Mechanics and Applied Mathematics
    • Greenspan, H.P.1
  • 9
    • 0033454916 scopus 로고    scopus 로고
    • On the derivation of homogenenous hydrostatic equations
    • Grenier, E. On the derivation of homogenenous hydrostatic equations. M2AN Math. Model. Numer. Anal. 33 (1999), no. 5, 965-970.
    • (1999) M2AN Math. Model. Numer. Anal. , vol.33 , Issue.5 , pp. 965-970
    • Grenier, E.1
  • 10
    • 0031537027 scopus 로고    scopus 로고
    • Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations
    • Grenier, E. Boundary layers for parabolic regularizations of totally characteristic quasilinear parabolic equations. J. Math. Pures Appl. (9) 76 (1997), no. 10, 965-990.
    • (1997) J. Math. Pures Appl. (9) , vol.76 , Issue.10 , pp. 965-990
    • Grenier, E.1
  • 11
    • 85037783579 scopus 로고    scopus 로고
    • On the stability of boundary layers of Euler equations
    • in press
    • Grenier, E. On the stability of boundary layers of Euler equations. J. Differential Equations, in press.
    • J. Differential Equations
    • Grenier, E.1
  • 12
    • 0039165703 scopus 로고    scopus 로고
    • Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems
    • Grenier, E.; Gués, O. Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems. J. Differential Equations 143 (1998), no. 1, 110-146.
    • (1998) J. Differential Equations , vol.143 , Issue.1 , pp. 110-146
    • Grenier, E.1    Gués, O.2
  • 14
    • 0040652193 scopus 로고
    • Remarks on zero viscosity limit for nonstationary Navier-stokes flows with boundary
    • Seminar on nonlinear partial differential equations (Berkeley, Calif., 1983), Springer, New York-Berlin
    • Kato, T. Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Seminar on nonlinear partial differential equations (Berkeley, Calif., 1983), 85-98. Math. Sci. Res. Inst. Publ., 2. Springer, New York-Berlin, 1984.
    • (1984) Math. Sci. Res. Inst. Publ. , vol.2 , pp. 85-98
    • Kato, T.1
  • 15
    • 84975078070 scopus 로고    scopus 로고
    • Landau, L. D.; Lifshitz, E. M. Fluid mechanics. Translated from the Russian by J. B. Sykes and W. H. Reid. Course of Theoretical Physics, Vol. 6. Pergamon, London-Paris-Frankfurt; Addison-Wesley, Reading, Mass., 1959.
    • Fluid Mechanics
    • Landau, L.D.1    Lifshitz, E.M.2
  • 16
    • 0038527473 scopus 로고
    • Translated from the Russian by J. B. Sykes and W. H. Reid. Pergamon, London-Paris-Frankfurt; Addison-Wesley, Reading, Mass.
    • Landau, L. D.; Lifshitz, E. M. Fluid mechanics. Translated from the Russian by J. B. Sykes and W. H. Reid. Course of Theoretical Physics, Vol. 6. Pergamon, London-Paris-Frankfurt; Addison-Wesley, Reading, Mass., 1959.
    • (1959) Course of Theoretical Physics , vol.6
  • 17
    • 85020506732 scopus 로고    scopus 로고
    • Mathematical topics in fluid mechanics. Vol. 1. Incompressible models
    • Oxford Science Publications. Clarendon, Oxford University, New York
    • Lions, P.-L. Mathematical topics in fluid mechanics. Vol. 1. Incompressible models. Oxford Lecture Series in Mathematics and Its Applications, 3. Oxford Science Publications. Clarendon, Oxford University, New York, 1996.
    • (1996) Oxford Lecture Series in Mathematics and Its Applications , vol.3
    • Lions, P.-L.1
  • 18
    • 0003269966 scopus 로고
    • Mathematical theory of incompressible nonviscous fluids
    • Springer, New York
    • Marchioro, C.; Pulvirenti, M. Mathematical theory of incompressible nonviscous fluids. Applied Mathematical Sciences, 96. Springer, New York, 1994.
    • (1994) Applied Mathematical Sciences , vol.96
    • Marchioro, C.1    Pulvirenti, M.2
  • 19
    • 25344457066 scopus 로고
    • A system of boundary layer equations for non-stationary flow of an incompressible fluid
    • Oleǐnik, O. A. A system of boundary layer equations for non-stationary flow of an incompressible fluid. Dokl. Akad. Nauk SSSR 168 (1966), 751-754.
    • (1966) Dokl. Akad. Nauk SSSR , vol.168 , pp. 751-754
    • Oleǐnik, O.A.1
  • 20
    • 84948434395 scopus 로고
    • On the stability, or instability, of certain fluid motions
    • Rayleigh, Lord (J. W. S.) On the stability, or instability, of certain fluid motions. Proc. London Math. Soc. 11 (1880), 57-70.
    • (1880) Proc. London Math. Soc. , vol.11 , pp. 57-70
    • Rayleigh, L.1
  • 22
    • 0032371860 scopus 로고    scopus 로고
    • Zero viscosity limit for analytic solutions of the Navier-stokes equation on a half-space. I, II
    • Sammartino, M.; Caflisch, R. E. Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. I, II. Comm. Math. Phys. 192 (1998), 433-461 and 463-491.
    • (1998) Comm. Math. Phys. , vol.192 , pp. 433-461
    • Sammartino, M.1    Caflisch, R.E.2
  • 23
    • 0003446472 scopus 로고
    • Translated by J. Kestin. 4th ed. McGraw-Hill Series in Mechanical Engineering. McGraw-Hill, New York-Toronto-London; G. Braun, Karlsruhe
    • Schlichting, H. Boundary layer theory. Translated by J. Kestin. 4th ed. McGraw-Hill Series in Mechanical Engineering. McGraw-Hill, New York-Toronto-London; G. Braun, Karlsruhe, 1960.
    • (1960) Boundary Layer Theory.
    • Schlichting, H.1
  • 24
    • 0038247451 scopus 로고
    • Finite time analyticity for the two- and three-dimensional Kelvin-Helmholtz instability
    • Sulem, C.; Sulem, P.-L.; Bardos, C.; Frisch, U. Finite time analyticity for the two- and three-dimensional Kelvin-Helmholtz instability. Comm. Math. Phys. 80 (1981), no. 4, 485-516.
    • (1981) Comm. Math. Phys. , vol.80 , Issue.4 , pp. 485-516
    • Sulem, C.1    Sulem, P.-L.2    Bardos, C.3    Frisch, U.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.