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.
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页码：34 / 56
页数：23
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