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Open Access Research Article

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

Jianwei Yang1*, Shu Wang2 and Yong Li2

Author Affiliations

1 College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

2 College of Applied Sciences, Beijing University of Technology, PingLeYuan100, Chaoyang District, Beijing 100022, China

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Boundary Value Problems 2010, 2010:716451  doi:10.1155/2010/716451

Published: 1 August 2010

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 .