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Volumn 189, Issue 1, 2003, Pages 17-45

On fluid limit for the semiconductors Boltzmann equation

Author keywords

Chapman Enskog expansion; Detailed balance principle; Hilbert expansion; Hydrodynamic limit; Pauli principle; Semiconductors Boltzmann equation

Indexed keywords


EID: 0037457054     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00096-7     Document Type: Article
Times cited : (10)

References (16)
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  • 3
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    • Mathematical modelling of microelectronics semiconductor devices, Some current topics on nonlinear conservation laws
    • Proceedings of the Morningside Mathematical Center, Beijing, AMS/IP Studies in Advanced Mathematics, Providence, RI
    • P. Degond, Mathematical modelling of microelectronics semiconductor devices, Some current topics on nonlinear conservation laws, in: Proceedings of the Morningside Mathematical Center, Beijing, AMS/IP Studies in Advanced Mathematics, Vol. 15, Amer. Math. Soc., Providence, RI, 2000, pp. 77-110.
    • (2000) Amer. Math. Soc. , vol.15 , pp. 77-110
    • Degond, P.1
  • 4
    • 0000512903 scopus 로고    scopus 로고
    • Diffusion limit for non homogeneous and non-micro-reversibles processes
    • P. Degond, T. Goudon, F. Poupaud, Diffusion limit for non homogeneous and non-micro-reversibles processes, Indiana Univ. Math. J. 49 (2000) 1175-1198.
    • (2000) Indiana Univ. Math. J. , vol.49 , pp. 1175-1198
    • Degond, P.1    Goudon, T.2    Poupaud, F.3
  • 7
    • 84974759770 scopus 로고
    • Limite fluide des équations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac
    • F. Golse, F. Poupaud, Limite fluide des équations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac, Asymptotic Anal. 6 (1992) 135-160.
    • (1992) Asymptotic Anal. , vol.6 , pp. 135-160
    • Golse, F.1    Poupaud, F.2
  • 8
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    • Equilibrium solutions for the Pauli operator
    • T. Goudon, Equilibrium solutions for the Pauli operator, C. R. Acad. Sci. 330 (2000) 1035-1038.
    • (2000) C. R. Acad. Sci. , vol.330 , pp. 1035-1038
    • Goudon, T.1
  • 12
    • 0012862895 scopus 로고    scopus 로고
    • Diffusion limit of a non linear kinetic model without the detailed balance principle
    • A. Mellet, Diffusion limit of a non linear kinetic model without the detailed balance principle, Monatshefte Math. 134 (2002) 305-329.
    • (2002) Monatshefte Math. , vol.134 , pp. 305-329
    • Mellet, A.1
  • 13
    • 0025545719 scopus 로고
    • On a system of non-linear Boltzmann equations of semiconductor physics
    • F. Poupaud, On a system of non-linear Boltzmann equations of semiconductor physics, SIAM J. Appl. Math. 50 (1990) 1593-1606.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1593-1606
    • Poupaud, F.1
  • 14
    • 84974753119 scopus 로고
    • Diffusion approximation of the linear semiconductor equation: Analysis of boundary layers
    • F. Poupaud, Diffusion approximation of the linear semiconductor equation: analysis of boundary layers, Asymptotic Anal. 4 (1991) 293-317.
    • (1991) Asymptotic Anal. , vol.4 , pp. 293-317
    • Poupaud, F.1
  • 16
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    • Analyse mathématique de quelques équations de Boltzmann des semi-conducteurs
    • Thèse Ecole Nationale d'Ingénieurs de Tunis
    • M.L. Tayeb, Analyse mathématique de quelques équations de Boltzmann des semi-conducteurs, Thèse Ecole Nationale d'Ingénieurs de Tunis, 2001.
    • (2001)
    • Tayeb, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.