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

  • Jianwei Yang1Email author,

    Affiliated with

    • Shu Wang2 and

      Affiliated with

      • Yong Li2

        Affiliated with

        Boundary Value Problems20102010:716451

        DOI: 10.1155/2010/716451

        Received: 5 May 2010

        Accepted: 16 July 2010

        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 http://static-content.springer.com/image/art%3A10.1155%2F2010%2F716451/MediaObjects/13661_2010_Article_949_IEq1_HTML.gif .

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        Authors’ Affiliations

        (1)
        College of Mathematics and Information Science, North China University of Water Resources and Electric Power
        (2)
        College of Applied Sciences, Beijing University of Technology

        Copyright

        © 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.