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

被引：2

作者：

Zhang, Jing ^{[1
]}

Zhang, Yongqian ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 01期

关键词：

global existence; Euler-Boltzmann equations; initial-boundary; Glimm scheme; GLOBAL WEAK SOLUTIONS; EXISTENCE;

D O I：

10.1016/S0252-9602(17)30116-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the initial-boundary value problem for the one dimensional Euler-Boltzmann 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-Delta t,U-d, I-Delta t,I-d) 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

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