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

被引:2
|
作者
Yang, Jianwei [1 ]
Wang, Shu [2 ]
Li, Yong [2 ]
机构
[1] N China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450011, Peoples R China
[2] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
基金
美国国家科学基金会;
关键词
ENTROPY SOLUTIONS; EULER EQUATIONS; FLUIDS; MODEL;
D O I
10.1155/2010/716451
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 epsilon.
引用
收藏
页数:15
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