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

doi:10.1016/S0252-9602(17)30116-9

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (1): 34-56.doi: 10.1016/S0252-9602(17)30116-9

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

张晶, 张永前

School of Mathematical Sciences, Fudan University, Shanghai 200433, China

收稿日期:2016-12-12 修回日期:2017-02-15 出版日期:2018-02-25 发布日期:2018-02-25
作者简介:Jing ZHANG,E-mail:jing_zhang@fudan.edu.cn;Yongqian ZHANG,E-mail:yongqianz@fudan.edu.cn
基金资助:
This work was supported in part by NSFC Project (11421061), the 111 Project (B08018), and by Shanghai Natural Science Foundation (15ZR1403900).

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

Jing ZHANG, Yongqian ZHANG

School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Received:2016-12-12 Revised:2017-02-15 Online:2018-02-25 Published:2018-02-25
Supported by:
This work was supported in part by NSFC Project (11421061), the 111 Project (B08018), and by Shanghai Natural Science Foundation (15ZR1403900).

摘要/Abstract

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_△t,d, I_△t,d) and prove that there is a subsequence of the approximate solutions which is convergent to the global solution.

关键词: global existence, Euler-Boltzmann equations, initial-boundary, Glimm scheme

Abstract:

Key words: global existence, Euler-Boltzmann equations, initial-boundary, Glimm scheme

张晶, 张永前. INITIAL-BOUNDARY PROBLEM FOR THE 1-D EULER-BOLTZMANN EQUATIONS IN RADIATION HYDRODYNAMICS[J]. 数学物理学报(英文版), 2018, 38(1): 34-56.

Jing ZHANG, Yongqian ZHANG. INITIAL-BOUNDARY PROBLEM FOR THE 1-D EULER-BOLTZMANN EQUATIONS IN RADIATION HYDRODYNAMICS[J]. Acta mathematica scientia,Series B, 2018, 38(1): 34-56.

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

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

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