Existence of solutions to an initial-boundary value problem of multidimensional radiation hydrodynamics

被引：9

作者：

Jiang, Peng ^{[1
]}

Wang, Yaguang ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 251卷 / 06期

关键词：

Multidimensions; Radiation hydrodynamics; Local existence; Smooth solution; Initial-boundary value problem;

D O I：

10.1016/j.jde.2011.05.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the well-posedness of an initial-boundary value problem for the equations of multidimensional radiation hydrodynamics which are a hyperbolic-Boltzmann coupled system. We obtain the local existence and uniqueness of smooth solutions to this problem by using the energy method. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1616 / 1636

页数：21

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