期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 234, 期 1, 页码 91-109出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2006.11.010
关键词
nonrelativistic limit; radiation hydrodynamics; discrete ordinates; difference scheme; BV-estimate; weak-* convergence
类别
This paper is concerned with a model system for radiation hydrodynamics in multiple space dimensions. The system depends singularly on the light speed c and consists of a scalar nonlinear balance law coupled via an integral-type source term to a family of radiation transport equations. We first show existence of entropy solutions to Cauchy problems of the model system in the framework of functions of bounded variation. This is done by using difference schemes and discrete ordinates. Then we establish strong convergence of the entropy solutions, indexed with c, as c goes to infinity. The limit function satisfies a scalar integro-differential equation. (c) 2006 Elsevier Inc. All rights reserved.
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