Equilibrium solutions for the Pauli operator;Solutions d'équilibre pour l'opérateur de Pauli

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 330, Issue 11, 2000, Pages 1035-1038

  Goudon, Thierry ^a  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196332     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(00)00300-1     Document Type: Article

References (13)

1. [1] Allaire G., Bal G., Homogeneization of the criticality spectral equation in neutron transport, Rapport CEA-R-5815(E), October 1998. Announced in: Homogénéisation d'une équation spectrale du transport neutronique, C. R. Acad. Sci. Paris, Série I 325 (1997) 1043-1048.
2. [2] Allaire G., Capdeboscq Y., Homogeneization of a spectral problem for a multigroup neutronic diffusion model, (in preparation).
3. [3] Bardos C., Golse F., Perthame B., Sentis R., The nonaccretive radiative transfer equations: existence of solutions ans Rosseland approximations, J. Funct. Anal. 77 (1988) 434-460.
4. [4] Ben Abdallah N., Degond P., On a hierarchy of macroscopic models for semiconductors, J. Math. Phys. 37 (7) (1996) 3306-3333.
5. [5] Bensoussan A., Lions J.-L., Papanicolaou G., Boundary layers and homogeneization of transport processes, Publ. RIMS Kyoto Univ. 15 (1979) 53-157.
6. [6] Degond P., Goudon T., Poupaud F., Diffusion limit for non-homogeneous and non-micro reversible processes, Preprint, 2000.
7. [7] Golse F., From kinetic to macroscopic models, Session "État de la Recherche" SMF, Orléans, 4-6 juin 1998.
8. [8] Golse F., Poupaud F., Limite fluide des équations de Boltzmann des semi-conducteurs pour une statistique de Fermi-Dirac, Asympt. Anal. 6 (1992) 135-160.
9. [9] Goudon T., Poupaud F., Approximation by homogeneization and diffusion of kinetic equations, Commun. Partial Differ. Eq. (à paraître).
10. [10] Larsen E., Keller J., Asymptotic solution of neutron transport processes for small free paths, J. Math. Phys. 15 (1974) 75-81.
11. [11] Lions P.-L., Toscani G., Diffuse limit for finite velocity Boltzmann kinetic models, Rev. Mat. Iber. 13 (1997) 473-513.
12. [12] Mellet A., (in preparation), Personal communication.
13. [13] Poupaud F., On a system of nonlinear Boltzmann equations of semiconductors physics, SIAM J. Appl. Math. 50 (1990) 1593-1606.