L1 contraction property for a Boltzmann equation with Pauli statistics

Comptes Rendus Mathematique

Volumn 335, Issue 4, 2002, Pages 337-340

  Mellet, Antoine ^a   Perthame, Benoît ^b  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b ÉCOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038729545     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02495-0     Document Type: Article

References (8)

1. C.M. Dafermos, Hyperbolic Conservation Laws in Continuum Physics, Grundwissen Math., Vol. 325, Springer-Verlag, Berlin, 1999.
2. P. Degond, T. Goudon, F. Poupaud, Diffusion approximation for nonhomogeneous and nonmicroreversible processes, Indiana Univ. Math. J. 49 (2000) 1175-1198.
3. F. Golse, F. Poupaud, Limite fluide des équations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac, Asymptotic Anal. 6 (1992) 135-160.
4. T. Goudon, Equilibrium solutions for the Pauli operator, C. R. Acad. Sci. Paris 330 (2000) 1035-1038.
5. T. Goudon, A. Mellet, On fluid limit for the semiconductors Boltzmann equation, J. Differential Equations, to appear.
6. A. Mellet, Diffusion limit of a nonlinear kinetic model without the detailed balance principle, Monatsh. Math. 134 (2002) 305-329.
7. B. Perthame, Kinetic Formulation of Conservation Laws, Ser. Math. Appl., Vol. 21, Oxford University Press, 2002.
8. D. Serre, Systèmes hyperboliques de lois de conservation, Diderot, Paris, 1996.