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


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2010/1/716451


Received:5 May 2010
Accepted:16 July 2010
Published:1 August 2010

© 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 .

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