메뉴 건너뛰기




Volumn 18, Issue 9, 2008, Pages 1633-1672

Fluid dynamic limits for gas mixture I. Formal derivations

Author keywords

Compressible Euler equation; Gas mixture; Hydrodynamic fluctuations; Navier Stokes equations

Indexed keywords

EULER EQUATIONS; FLUID DYNAMICS; FLUID MECHANICS; TURBULENT FLOW;

EID: 52949141523     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202508003157     Document Type: Article
Times cited : (18)

References (33)
  • 1
    • 0036117201 scopus 로고    scopus 로고
    • A consistent BGK-type model for gas mixtures
    • P. Andries, K. Aoki and B. Perthame, A consistent BGK-type model for gas mixtures, J. Statist. Phys. 106 (2002) 993-1018.
    • (2002) J. Statist. Phys , vol.106 , pp. 993-1018
    • Andries, P.1    Aoki, K.2    Perthame, B.3
  • 2
    • 0037500401 scopus 로고    scopus 로고
    • Knudsen layer for gas mixtures
    • K. Aoki, C. Bardos and S. Takata, Knudsen layer for gas mixtures, J. Statist. Phys. 112 (2003) 628-655.
    • (2003) J. Statist. Phys , vol.112 , pp. 628-655
    • Aoki, K.1    Bardos, C.2    Takata, S.3
  • 3
    • 0001076950 scopus 로고
    • Fluid dynamic limits of kinetic equations I: Formal derivations
    • C. Bardos, F. Golse and D. Levermore, Fluid dynamic limits of kinetic equations I: Formal derivations, J. Statist. Phys. 63 (1991) 323-344.
    • (1991) J. Statist. Phys , vol.63 , pp. 323-344
    • Bardos, C.1    Golse, F.2    Levermore, D.3
  • 4
    • 84990619144 scopus 로고
    • Fluid dynamic limits of kinetic equations II: Convergence proofs for the Boltzmann equation
    • C. Bardos, F. Golse and D. Levermore, Fluid dynamic limits of kinetic equations II: Convergence proofs for the Boltzmann equation, Comm. Pure Appl. Math. 46 (1993) 667-753.
    • (1993) Comm. Pure Appl. Math , vol.46 , pp. 667-753
    • Bardos, C.1    Golse, F.2    Levermore, D.3
  • 5
    • 0001315807 scopus 로고
    • The classical incompressible Navier-Stokes limit of the Boltzmann equation
    • C. Bardos and S. Ukai, The classical incompressible Navier-Stokes limit of the Boltzmann equation, Math. Mod. Meth. Appl. Sci. 2 (1991) 235-257.
    • (1991) Math. Mod. Meth. Appl. Sci , vol.2 , pp. 235-257
    • Bardos, C.1    Ukai, S.2
  • 6
    • 1042302643 scopus 로고    scopus 로고
    • From a class of kinetic models to the macroscopic equations for multicellular systems in biology
    • N. Bellomo and A. Bellouquid, From a class of kinetic models to the macroscopic equations for multicellular systems in biology, Discr. Cont. Dyn. Syst. B 4 (2004) 59-80.
    • (2004) Discr. Cont. Dyn. Syst. B , vol.4 , pp. 59-80
    • Bellomo, N.1    Bellouquid, A.2
  • 7
    • 30344453406 scopus 로고    scopus 로고
    • On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
    • N. Bellomo and A. Bellouquid, On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis, Int. J. Nonlinear Mech. 41 (2006) 281-293.
    • (2006) Int. J. Nonlinear Mech , vol.41 , pp. 281-293
    • Bellomo, N.1    Bellouquid, A.2
  • 8
    • 34248193921 scopus 로고    scopus 로고
    • From microscopic to macroscopic description of multicellular systems and biological growing tissues
    • N. Bellomo A. Bellouquid and M. A. Herrero, From microscopic to macroscopic description of multicellular systems and biological growing tissues, Comput. Math. Appl. 53 (2007) 647-663.
    • (2007) Comput. Math. Appl , vol.53 , pp. 647-663
    • Bellomo, N.1    Bellouquid, A.2    Herrero, M.A.3
  • 9
    • 35348846435 scopus 로고    scopus 로고
    • Multicellular growing systems: Hyperbolic limits towards macroscopic description
    • N. Bellomo, A. Bellouquid, J. Nieto and J. J. Soler, Multicellular growing systems: Hyperbolic limits towards macroscopic description, Math. Mod. Meth. Appl. Sci. 17 (2007) 1675-1693.
    • (2007) Math. Mod. Meth. Appl. Sci , vol.17 , pp. 1675-1693
    • Bellomo, N.1    Bellouquid, A.2    Nieto, J.3    Soler, J.J.4
  • 10
    • 7244231027 scopus 로고    scopus 로고
    • On the asymptotic analysis of kinetic models towards the compressible Euler and acoustic equations
    • A. Bellouquid, On the asymptotic analysis of kinetic models towards the compressible Euler and acoustic equations, Math. Mod. Meth. Appl. Sci. 14 (2004) 853-882.
    • (2004) Math. Mod. Meth. Appl. Sci , vol.14 , pp. 853-882
    • Bellouquid, A.1
  • 11
    • 0022562136 scopus 로고
    • Extended kinetic theory for gas mixtures in the presence of removal and regeneration effects
    • V. C. Boffi and G. Spiga, Extended kinetic theory for gas mixtures in the presence of removal and regeneration effects, Z. Angew. Math. Phys. 37 (1986) 27-42.
    • (1986) Z. Angew. Math. Phys , vol.37 , pp. 27-42
    • Boffi, V.C.1    Spiga, G.2
  • 12
    • 0035605221 scopus 로고    scopus 로고
    • High field limit for the Vlasov-Poisson-Fokker-Planck system: A comparison of different perturbation methods
    • L. L. Bonilla, and J. S. Soler, High field limit for the Vlasov-Poisson-Fokker-Planck system: A comparison of different perturbation methods, Math. Mod. Meth. Appl. Sci. 11 (2001) 1457-1681.
    • (2001) Math. Mod. Meth. Appl. Sci , vol.11 , pp. 1457-1681
    • Bonilla, L.L.1    Soler, J.S.2
  • 13
    • 28844463756 scopus 로고    scopus 로고
    • Fluid-dynamic equations for granular particles in a host medium
    • M. Bisi and G. Spiga, Fluid-dynamic equations for granular particles in a host medium, J. Math. Phys. 46 (2005) 11301-11320.
    • (2005) J. Math. Phys , vol.46 , pp. 11301-11320
    • Bisi, M.1    Spiga, G.2
  • 14
    • 84980175331 scopus 로고
    • The fluid dynamical limit of the nonlinear Boltzmann equation
    • R. Caflisch, The fluid dynamical limit of the nonlinear Boltzmann equation, Comm. Pure Appl. Math. 33 (1980) 651-666.
    • (1980) Comm. Pure Appl. Math , vol.33 , pp. 651-666
    • Caflisch, R.1
  • 17
    • 84990591606 scopus 로고
    • Incompressible Navier-Stokes and Euler limits of the Boltzmann equation
    • A. De Masi, R. Esposito and J. L. Lebowitz, Incompressible Navier-Stokes and Euler limits of the Boltzmann equation, Comm. Pure. Appl. Math. 42 (1989) 1189-1214.
    • (1989) Comm. Pure. Appl. Math , vol.42 , pp. 1189-1214
    • De Masi, A.1    Esposito, R.2    Lebowitz, J.L.3
  • 18
    • 0040348944 scopus 로고
    • A remark concerning the Chapman-Enskog asymptotic
    • Advances in Kinetic Theory and Computing, World Scientific
    • L. Desvillettes and F. Golse, A remark concerning the Chapman-Enskog asymptotic, in Advances in Kinetic Theory and Computing, Series on Advances in Mathematics for Appl. Sciences, Vol. 22 (World Scientific, 1994).
    • (1994) Series on Advances in Mathematics for Appl. Sciences , vol.22
    • Desvillettes, L.1    Golse, F.2
  • 19
    • 52949114009 scopus 로고    scopus 로고
    • Fluid dynamic limits for gas mixture II: Convergence Proofs
    • Preprint
    • C. Dogbe, Fluid dynamic limits for gas mixture II: Convergence Proofs. Preprint.
    • Dogbe, C.1
  • 20
    • 36549103933 scopus 로고
    • A kinetic model for a multicomponent gas
    • V. Garzó, A. Santos and J. J. Brey, A kinetic model for a multicomponent gas, Phys. Fluids A 1 (1989) 380-383.
    • (1989) Phys. Fluids A , vol.1 , pp. 380-383
    • Garzó, V.1    Santos, A.2    Brey, J.J.3
  • 21
    • 66049164377 scopus 로고    scopus 로고
    • Evolutionary equations, Handb. Differ. Eqn, Elsevier/North-Holland
    • F. Golse, The Boltzmann Equation and its Hydrodynamic Limits, Evolutionary equations, Handb. Differ. Eqn., Vol. II (Elsevier/North-Holland, 2005), pp. 159-301.
    • (2005) The Boltzmann Equation and its Hydrodynamic Limits , vol.2 , pp. 159-301
    • Golse, F.1
  • 22
    • 18144404326 scopus 로고    scopus 로고
    • Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system
    • T. Goudon, J. Nieto, J. Soler and F. Poupaud, Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system, J. Diff. Eqns. 213 (2005) 18-442.
    • (2005) J. Diff. Eqns , vol.213 , pp. 18-442
    • Goudon, T.1    Nieto, J.2    Soler, J.3    Poupaud, F.4
  • 26
    • 0034917420 scopus 로고    scopus 로고
    • The diffusion limit of transport equations derived from velocity-jump processes
    • T. Hillen and H. Othmer, The diffusion limit of transport equations derived from velocity-jump processes, SIAM J. Appl. Math. 61 (2000) 751-775.
    • (2000) SIAM J. Appl. Math , vol.61 , pp. 751-775
    • Hillen, T.1    Othmer, H.2
  • 27
    • 0015562043 scopus 로고
    • Energy and momentum equations for disparate-mass binary gases
    • E. A. Johnson, Energy and momentum equations for disparate-mass binary gases, Phys. Fluids 16 (1973) 45-49.
    • (1973) Phys. Fluids , vol.16 , pp. 45-49
    • Johnson, E.A.1
  • 28
    • 0035616508 scopus 로고    scopus 로고
    • From the Boltzmann equations to the equations of incompressible fluid mechanics I
    • P. L. Lions and N. Masmoudi, From the Boltzmann equations to the equations of incompressible fluid mechanics I, Arch. Rational Mech. Anal. 158 (2001) 173-193.
    • (2001) Arch. Rational Mech. Anal , vol.158 , pp. 173-193
    • Lions, P.L.1    Masmoudi, N.2
  • 29
    • 0035639248 scopus 로고    scopus 로고
    • The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: Asymptotic analysis of the Boltzmann equation
    • S. Takata and K. Aoki, The ghost effect in the continuum limit for a vapor-gas mixture around condensed phases: Asymptotic analysis of the Boltzmann equation, Trans. Th. Stat. Phys. 30 (2001) 205-237.
    • (2001) Trans. Th. Stat. Phys , vol.30 , pp. 205-237
    • Takata, S.1    Aoki, K.2
  • 30
    • 3242670536 scopus 로고    scopus 로고
    • Kinetic theory analysis of the two-surface problem of a vapor-vapor mixture in the continuum limit
    • S. Takata, Kinetic theory analysis of the two-surface problem of a vapor-vapor mixture in the continuum limit, Phys. Fluids 16 (2004) 2182-2198.
    • (2004) Phys. Fluids , vol.16 , pp. 2182-2198
    • Takata, S.1
  • 31
    • 0000537351 scopus 로고
    • The Euler limit and initial layer of the nonlinear Boltzmann equation
    • S. Ukai and K. Asano, The Euler limit and initial layer of the nonlinear Boltzmann equation, Hokkaido Math. J. 12 (1983) 311-332.
    • (1983) Hokkaido Math. J , vol.12 , pp. 311-332
    • Ukai, S.1    Asano, K.2
  • 33
    • 17544366526 scopus 로고    scopus 로고
    • Evaporation and condensation of a binary mixture of vapors on a plane condensed
    • S. Yasuda, S. Takata and K. Aoki, Evaporation and condensation of a binary mixture of vapors on a plane condensed, Phys. Fluids 17 (2005) 047105.
    • (2005) Phys. Fluids , vol.17 , pp. 047105
    • Yasuda, S.1    Takata, S.2    Aoki, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.