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

Boundary Value Problems20102010:716451

Received: 5 May 2010

Accepted: 16 July 2010

Published: 1 August 2010


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 .


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationSmooth Solution

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Authors’ Affiliations

College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, China
College of Applied Sciences, Beijing University of Technology, Beijing, China


© Jianwei Yang et al. 2010

This article is published under license to BioMed Central Ltd. 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.