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

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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Correspondence to Jianwei Yang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Yang, J., Wang, S. & Li, Y. Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations. Bound Value Probl 2010, 716451 (2010). https://doi.org/10.1155/2010/716451

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  • DOI: https://doi.org/10.1155/2010/716451

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Smooth Solution