%0 Conference Proceedings %T Radiative transfer equations and Rosseland approximation in gray matter %+ Dipartimento di matematica F. Casorati %+ Laboratoire Jacques-Louis Lions (LJLL) %+ Centre de Mathématiques Laurent Schwartz (CMLS) %A Salvarani, Francesco %A Golse, François %< avec comité de lecture %( Proceedings of the 14th Conference on WASCOM 2007, Waves And Stability In Continuous Media %B 14th Conference on Waves And Stability In Continuous Media %C Baia Samuele, Sicily, Italy %I World Scientific %P 321-326 %8 2007-06-30 %D 2007 %R 10.1142/9789812772350_0045 %K Radiative transfer %K Rosseland approximation %K Diffusive limit %Z MSC 85A25 (35K57) %Z Mathematics [math]/Analysis of PDEs [math.AP] %Z Mathematics [math]/Mathematical Physics [math-ph]Conference papers %X 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. %G English %L hal-00767589 %U https://polytechnique.hal.science/hal-00767589 %~ UNIV-PARIS7 %~ X %~ UPMC %~ CMLS %~ CNRS %~ INSMI %~ X-CMLS %~ X-DEP %~ X-DEP-MATH %~ LJLL %~ TDS-MACS %~ UPMC_POLE_1 %~ SORBONNE-UNIVERSITE %~ SU-SCIENCES %~ UNIV-PARIS %~ ALLIANCE-SU