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Volumn 26, Issue 3-4, 2001, Pages 537-569

Approximation by homogenization and diffusion of kinetic equations

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EID: 0000454055     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-100002237     Document Type: Article
Times cited : (48)

References (33)
  • 2
    • 21144473666 scopus 로고
    • Homogeneization and two scale convergence
    • G. ALLAIRE, Homogeneization and two scale convergence, SIAM J. Math. Anal., 23, 1992, 1482-1518.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 3
    • 0031281089 scopus 로고    scopus 로고
    • Homogénéisation d'une équation spectrale du transport neutronique
    • Série I
    • G. ALLAIRE and G. BAL, Homogénéisation d'une équation spectrale du transport neutronique, CRAS, Série I, 325, 1997, 1043-1048.
    • (1997) CRAS , vol.325 , pp. 1043-1048
    • Allaire, G.1    Bal, G.2
  • 5
    • 0002293879 scopus 로고
    • The porous media equation, in Non linear diffusion problems, Montecatini Terme 1985
    • A. Fasano and M. Primicerio Eds. Springer
    • D. ARONSON, The porous media equation, in Non linear diffusion problems, Montecatini Terme 1985, Lect. Notes Math., vol. 1224, A. Fasano and M. Primicerio Eds. pp. 1-46 (Springer, 1986).
    • (1986) Lect. Notes Math. , vol.1224 , pp. 1-46
    • Aronson, D.1
  • 6
    • 21544469331 scopus 로고
    • Systèmes dynamiques et équations cinétiques : Résultats et perspectives
    • Les grands systèmes des sciences et de la technologie, Masson
    • C. BARDOS, L. DUMAS, P. GERARD and F. GOLSE, Systèmes dynamiques et équations cinétiques : résultats et perspectives, in Les grands systèmes des sciences et de la technologie, Res. Notes Appl. Math., vol. 28, pp. 49-62 (Masson, 1994).
    • (1994) Res. Notes Appl. Math. , vol.28 , pp. 49-62
    • Bardos, C.1    Dumas, L.2    Gerard, P.3    Golse, F.4
  • 7
    • 84990619165 scopus 로고
    • The Rosseland approximation for the radiative transfer equations
    • C. BARDOS, F. GOLSE and B. PERTHAME, The Rosseland approximation for the radiative transfer equations, CPAM, 40, 1987, 691-721
    • (1987) CPAM , vol.40 , pp. 691-721
    • Bardos, C.1    Golse, F.2    Perthame, B.3
  • 8
    • 0000080448 scopus 로고
    • and CPAM, 42, 1989, 891-894.
    • (1989) CPAM , vol.42 , pp. 891-894
  • 9
    • 50849147116 scopus 로고
    • The nonaccretive radiative transfer equations : Existence of solutions and Rosseland approximation
    • C. BARDOS, F. GOLSE, B. PERTHAME and R. SENTIS, The nonaccretive radiative transfer equations : existence of solutions and Rosseland approximation, J. Funct. Anal., 77, 1988, 434-460.
    • (1988) J. Funct. Anal. , vol.77 , pp. 434-460
    • Bardos, C.1    Golse, F.2    Perthame, B.3    Sentis, R.4
  • 10
    • 84967735805 scopus 로고
    • Diffusion approximation and computation of the critical size
    • C. BARDOS, R. SANTOS and R. SENTIS, Diffusion approximation and computation of the critical size, Trans. Am. Math. Soc., 284, 1984, 617-649.
    • (1984) Trans. Am. Math. Soc. , vol.284 , pp. 617-649
    • Bardos, C.1    Santos, R.2    Sentis, R.3
  • 15
    • 0003285448 scopus 로고
    • Weak convergence methods for nonlinear pde
    • CBMS regional conference, Loyola Univ. of Chicago, AMS
    • L. C. EVANS, Weak convergence methods for nonlinear pde, CBMS regional conference, Loyola Univ. of Chicago, CBMS Reg. Conf. Series in Math., 74 (AMS, 1990).
    • (1990) CBMS Reg. Conf. Series in Math. , pp. 74
    • Evans, L.C.1
  • 16
    • 0000379759 scopus 로고
    • Remarques sur l'homogénéisation des équations de transport
    • F. GOLSE, Remarques sur l'homogénéisation des équations de transport, CRAS, 305, 1987, 801-804.
    • (1987) CRAS , vol.305 , pp. 801-804
    • Golse, F.1
  • 17
    • 0005159445 scopus 로고
    • Particle transport in nonhomogeneous media
    • Mathematical aspects of Fluids and Plasma Dynamics, Proc. Salice Terme 1988, BoffiRionero-Toscani Eds., Springer
    • F. GOLSE, Particle transport in nonhomogeneous media, in Mathematical aspects of Fluids and Plasma Dynamics, Proc. Salice Terme 1988, BoffiRionero-Toscani Eds., Lect. Notes Math, vol. 1460, pp. 152-170 (Springer, 1991)
    • (1991) Lect. Notes Math , vol.1460 , pp. 152-170
    • Golse, F.1
  • 18
    • 45549114712 scopus 로고
    • Regularity of the moments of the solution of a transport equation
    • F. GOLSE, P.-L. LIONS, B. PERTHAME and R. SENTIS, Regularity of the moments of the solution of a transport equation, J. Funct. Anal., 76, 1988, 110-125.
    • (1988) J. Funct. Anal. , vol.76 , pp. 110-125
    • Golse, F.1    Lions, P.-L.2    Perthame, B.3    Sentis, R.4
  • 19
    • 84974759770 scopus 로고
    • Limite fluide des equations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac
    • F. GOLSE and F. POUPAUD, Limite fluide des equations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac, Asymptotic Analysis, 6, No.2, 1992, 135-160.
    • (1992) Asymptotic Analysis , vol.6 , Issue.2 , pp. 135-160
    • Golse, F.1    Poupaud, F.2
  • 22
    • 36849113737 scopus 로고
    • Asymptotic solution of neutron transport problems for small mean free paths
    • E. LARSEN and J. KELLER, Asymptotic solution of neutron transport problems for small mean free paths, J. Math. Phys., 15, 1974, 75-81.
    • (1974) J. Math. Phys. , vol.15 , pp. 75-81
    • Larsen, E.1    Keller, J.2
  • 23
    • 0031315579 scopus 로고    scopus 로고
    • Diffuse limit for finite velocity Boltzmann kinetic models
    • P.-L. LIONS and G. TOSCANI, Diffuse limit for finite velocity Boltzmann kinetic models, Rev. Mat. Iberoam., 13, No.3, 1997, 473-513.
    • (1997) Rev. Mat. Iberoam. , vol.13 , Issue.3 , pp. 473-513
    • Lions, P.-L.1    Toscani, G.2
  • 24
    • 0038967704 scopus 로고
    • Asymptotics limits of a statistical transport description
    • Modern Math. Methods in Transport Theory, W. Greenberg-J. Polewczak Eds., Birkhauser
    • F. MALVAGI, C. LEVERMORE and G. POMRANING, Asymptotics limits of a statistical transport description, in Modern Math. Methods in Transport Theory, W. Greenberg-J. Polewczak Eds., Op. Theory : Adv. and Appl., vol. 51, pp.. 200-207 (Birkhauser, 1991).
    • (1991) Op. Theory : Adv. and Appl. , vol.51 , pp. 200-207
    • Malvagi, F.1    Levermore, C.2    Pomraning, G.3
  • 25
    • 0000039797 scopus 로고
    • The one-dimensional Darcy's law as the limit of a compressible Euler flow
    • P. MARCATI and A. MILANI, The one-dimensional Darcy's law as the limit of a compressible Euler flow, JDE, 84, 1990, 129-147.
    • (1990) JDE , vol.84 , pp. 129-147
    • Marcati, P.1    Milani, A.2
  • 27
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogeneization
    • G. NGUETSENG, A general convergence result for a functional related to the theory of homogeneization, SIAM J. Math. Anal., 20, 1989, 608-623.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 608-623
    • Nguetseng, G.1
  • 28
    • 21544434829 scopus 로고
    • Diffusion theory via asymptotics
    • Modern Math. Methods in Transport Theory, W. Greenberg-J. Polewczak Eds., Birkhauser
    • G. POMRANING, Diffusion theory via asymptotics, in Modern Math. Methods in Transport Theory, W. Greenberg-J. Polewczak Eds., Op. Theory : Adv. and Appl., vol. 51, pp.. 261-269 (Birkhauser, 1991).
    • (1991) Op. Theory : Adv. and Appl. , vol.51 , pp. 261-269
    • Pomraning, G.1
  • 29
    • 84974753119 scopus 로고
    • Diffusion approximation of the linear semiconductor Boltzmann equation : Analysis of boundary layers
    • F. POUPAUD, Diffusion approximation of the linear semiconductor Boltzmann equation : analysis of boundary layers, Asymptotic Analysis, 4, 1991, 293-317.
    • (1991) Asymptotic Analysis , vol.4 , pp. 293-317
    • Poupaud, F.1
  • 30
    • 21544476637 scopus 로고
    • Approximation et homogénéisation d'un processus de transport
    • R. SENTIS, Approximation et homogénéisation d'un processus de transport, CRAS, 289, 1979, 567-570.
    • (1979) CRAS , vol.289 , pp. 567-570
    • Sentis, R.1
  • 32
    • 0000440966 scopus 로고
    • Compensated compactness and applications to pde
    • Herriot-Watt Symp., vol. IV, R. Knopps Eds., Pitman
    • L. TARTAR, Compensated compactness and applications to pde, in Herriot-Watt Symp., vol. IV, R. Knopps Eds., Res. Notes in Math, vol. 39, pp. 136-212 (Pitman, 1979).
    • (1979) Res. Notes in Math , vol.39 , pp. 136-212
    • Tartar, L.1
  • 33
    • 0039180451 scopus 로고
    • Compacité par compensation : Résultats et perspectives
    • Nonlinear pde and their applications, Collège de France Seminar, vol. IV, H. Brezis, J.L. Lions, D. Cioranesu Eds., Pitman
    • L. TARTAR, Compacité par compensation : résultats et perspectives in Nonlinear pde and their applications, Collège de France Seminar, vol. IV, H. Brezis, J.L. Lions, D. Cioranesu Eds., Res. Notes in Math, vol. 84, pp. 350-369 (Pitman, 1983).
    • (1983) Res. Notes in Math , vol.84 , pp. 350-369
    • Tartar, L.1


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