Équation de transport. Théorie spectrale et approximation de la diffusion. (French) Zbl 0558.35058

Bardos, C.

Journ. Équ. Dériv. Partielles, Saint-Jean-De-Monts 1982, Exp. No. 6, 1-10 (1982).

This conference contains a review of some results related to the transport equation (a linearized version of the Boltzmann equation). The main point is a discussion of the diffusion approximation, its mathematical justification and its applications to the determination of the first eigenvalue of the linear transport operator and to the calculation of the critical size.

Reviewer: V.Georgescu

MSC:

35Q99	Partial differential equations of mathematical physics and other areas of application
35P05	General topics in linear spectral theory for PDEs
82C70	Transport processes in time-dependent statistical mechanics
45K05	Integro-partial differential equations

Keywords:

review; transport equation; diffusion approximation; first eigenvalue; critical size