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

来源：

BOUNDARY VALUE PROBLEMS | 2010年

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

页数：15

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