Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations
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
Boundary Value Problems 2010, 2010:716451 doi:10.1155/2010/716451Published: 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 .