Radiative transfer equations and Rosseland approximation in gray matter

Francesco Salvarani (1) , François Golse (2, 3)

1 Dipartimento di matematica F. Casorati
2 LJLL - Laboratoire Jacques-Louis Lions
3 CMLS - Centre de Mathématiques Laurent Schwartz

In this paper we consider the radiative transfer equations in a bounded domain with non-homogeneous boundary conditions, when the opacity does not depend on the frequency of the photons. We discuss the existence of weak solutions of the radiative transfer system and show that the corresponding Rosseland approximation is robust even when the target equation is parabolic degenerate and the flux on the boundary is non vanishing.

Keywords: Radiative transfer; Rosseland approximation; Diffusive limit

Domains: Mathematics [math]; Analysis of PDEs [math.AP]; Mathematics [math]; Mathematical Physics [math-ph]

Francesco Salvarani, François Golse. Radiative transfer equations and Rosseland approximation in gray matter. 14th Conference on Waves And Stability In Continuous Media, Jun 2007, Baia Samuele, Sicily, Italy. pp.321-326, ⟨10.1142/9789812772350_0045⟩. ⟨hal-00767589⟩