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

Boundary Value Problems, Aug 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 .

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Jianwei Yang, Shu Wang, Yong Li. Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations, Boundary Value Problems, 2010, 716451,