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Remarques sur l’homogénéisation des équations de transort. (Remarks on the homogenization of transport equations). (French) Zbl 0658.35083

We give a general result concerning the homogenization of scattering cross sections in transport theory, still valid far from the diffusion regime, by using the compactness of the moments of the solution of a transport equation proved by the author, B. Perthame and R. Sentis [C. R. Acad. Sci., Paris, Ser. I 301, 341-344 (1985; Zbl 0591.45007) and (with P. L. Lions) J. Funct. Anal. 76, No.1, 110-125 (1988)]. We also study the homogenization of opacities in Radiative transfer, on some simplified models.

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
82C70 Transport processes in time-dependent statistical mechanics
35B40 Asymptotic behavior of solutions to PDEs

Citations:

Zbl 0591.45007
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