INITIAL-BOUNDARY PROBLEM FOR THE 1-D EULER-BOLTZMANN EQUATIONS IN RADIATION HYDRODYNAMICS

被引：0

作者：

张晶 ^{[1
]}

张永前 ^{[1
]}

机构：

[1] School of Mathematical Sciences, Fudan University

来源：

Acta Mathematica Scientia | 2018年 / 01期

关键词：

global existence; Euler-Boltzmann equations; initial-boundary; Glimm scheme;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

We study the initial-boundary value problem for the one dimensional EulerBoltzmann equation with reflection boundary condition. For initial data with small total variation, we use a modified Glimm scheme to construct the global approximate solutions(U;, I;) and prove that there is a subsequence of the approximate solutions which is convergent to the global solution.

引用

页码：34 / 56

页数：23

共 7 条

[1]

ON LOCAL STRUCTURAL STABILITY OF ONE-DIMENSIONAL SHOCKS IN RADIATION HYDRODYNAMICS[J]. 唐平凡,方北香,王亚光. Acta Mathematica Scientia(English Series). 2015(01)

[2] 一类一维的辐射流体力学方程组激波的存在性 [J].

朱一峰 ;

蒋鹏 .

数学物理学报, 2011, 31 (01) :1-17

[3] 一维活塞问题激波解的整体存在性 [J].

王泽军 .

数学年刊A辑(中文版), 2005, (04) :549-560

[4]

Existence of solutions to an initial–boundary value problem of multidimensional radiation hydrodynamics[J] . Peng Jiang,Yaguang Wang. Journal of Differential Equations . 2011 (6)

[5]

A version of the Glimm method based on generalized Riemann problems[J] . John Hong,Philippe LeFloch. Portugaliae Mathematica . 2007 (2)

[6] Local existence and finite-time blow-up in multidimensional radiation hydrodynamics [J].

Zhong, Xinhua ;

Jiang, Song .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2007, 9 (04) :543-564

[7] QUASILINEAR HYPERBOLIC SYSTEMS [J].

LIU, TP .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (02) :141-172

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