Boundary Value Problems
Volume 2010 (2010), Article ID 716451, 15 pages
doi:10.1155/2010/716451
Research Article

Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations

Jianwei Yang,1 Shu Wang,2 and Yong Li2

1College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
2College of Applied Sciences, Beijing University of Technology, PingLeYuan100, Chaoyang District, Beijing 100022, China

Received 5 May 2010; Accepted 16 July 2010

Academic Editor: Donal O'Regan

Copyright © 2010 Jianwei Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic limit. The local existence of smooth solutions to both systems is obtained. For well-prepared initial data, the convergence of the limit is rigorously justified by an analysis of asymptotic expansion, an energy method, and an iterative scheme. We also establish uniform a priori estimates with respect to ϵ.