STABILITY OF RAREFACTION WAVE FOR A MACROSCOPIC MODEL DERIVED FROM THE VLASOV-MAXWELL-BOLTZMANN SYSTEM

被引：0

作者：

黄咏婷 ^{[1
]}

刘红霞 ^{[2
]}

机构：

[1] Department of Mathematics, City University of Hong Kong

[2] Department of Mathematics, Jinan University

来源：

Acta Mathematica Scientia | 2018年 / 38卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Vlasov-Maxwell-Boltzmann system; rarefaction wave; energy method;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this article, we are concerned with the nonlinear stability of the rarefaction wave for a one-dimensional macroscopic model derived from the Vlasov-Maxwell-Boltzmann system. The result shows that the large-time behavior of the solutions coincides with the one for both the Navier-Stokes-Poisson system and the Navier-Stokes system. Both the timedecay property of the rarefaction wave profile and the influence of the electromagnetic field play a key role in the analysis.

引用

页码：857 / 888

页数：32

共 50 条

[1] STABILITY OF RAREFACTION WAVE FOR A MACROSCOPIC MODEL DERIVED FROM THE VLASOV-MAXWELL-BOLTZMANN SYSTEM
Huang, Yongting
Liu, Hongxia
ACTA MATHEMATICA SCIENTIA, 2018, 38 (03) : 857 - 888
[2] Momentum Regularity and Stability of the Relativistic Vlasov-Maxwell-Boltzmann System
Yan Guo
Robert M. Strain
Communications in Mathematical Physics, 2012, 310 : 649 - 673
[3] Momentum Regularity and Stability of the Relativistic Vlasov-Maxwell-Boltzmann System
Guo, Yan
Strain, Robert M.
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 310 (03) : 649 - 673
[4] On the Vlasov-Poisson-Boltzmann limit of the Vlasov-Maxwell-Boltzmann system
Jiang, Ning
Lei, Yuanjie
Zhao, Huijiang
JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 287 (07)
[5] The Vlasov-Maxwell-Boltzmann system near Maxwellians
Guo, Y
INVENTIONES MATHEMATICAE, 2003, 153 (03) : 593 - 630
[6] The Vlasov-Maxwell-Boltzmann system in the whole space
Strain, Robert M.
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 268 (02) : 543 - 567
[7] Stability of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction
Ma, Fanghua
Ma, Xuan
APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 854 - 882
[8] The Vlasov-Maxwell-Boltzmann system near Maxwellians
Yan Guo
Inventiones mathematicae, 2003, 153 : 593 - 630
[9] Vlasov-Maxwell-Boltzmann Diffusive Limit
Jang, Juhi
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 194 (02) : 531 - 584
[10] STABILITY OF THE RAREFACTION WAVE OF THE VLASOV-POISSON-BOLTZMANN SYSTEM
Duan, Renjun
Liu, Shuangqian
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (05) : 3585 - 3647

← 1 2 3 4 5 →