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

[31] STABILITY OF THE SUPERPOSITION OF A VISCOUS CONTACT WAVE WITH TWO RAREFACTION WAVES TO THE BIPOLAR VLASOV POISSON BOLTZMANN SYSTEM
Li, Hai-Liang
Wang, Teng
Wang, Yi
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 50 (02) : 1829 - 1876
[32] Stability of planar rarefaction wave to the 3D bipolar Vlasov-Poisson-Boltzmann system
Wang, Shu
Wang, Teng
Mathematical Models and Methods in Applied Sciences, 2020, 30 (01) : 23 - 104
[33] Global Solutions and Time Decay of the Non-cutoff Vlasov-Maxwell-Boltzmann System in the Whole Space
Fan, Yingzhe
Lei, Yuanjie
JOURNAL OF STATISTICAL PHYSICS, 2015, 161 (05) : 1059 - 1097
[34] Hydrodynamic Limit of the Incompressible Navier-Stokes-Fourier-Maxwell System with Ohm's Law from the Vlasov-Maxwell-Boltzmann System: Hilbert Expansion Approach
Jiang, Ning
Luo, Yi-Long
Zhang, Teng-Fei
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023, 247 (03)
[35] From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions
Jiang, Ning
Luo, Yi-Long
ANNALS OF PDE, 2022, 8 (01)
[36] From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions
Ning Jiang
Yi-Long Luo
Annals of PDE, 2022, 8
[37] Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system with hard potentials
Yang, Dongcheng
Yu, Hongjun
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 285 : 429 - 492
[38] The Vlasov–Maxwell–Boltzmann System in the Whole Space
Robert M. Strain
Communications in Mathematical Physics, 2006, 268 : 543 - 567
[39] Stability of Nonlinear Wave Patterns to the Bipolar Vlasov–Poisson–Boltzmann System
Hailiang Li
Yi Wang
Tong Yang
Mingying Zhong
Archive for Rational Mechanics and Analysis, 2018, 228 : 39 - 127
[40] STABILITY OF RAREFACTION WAVES FOR THE TWO-SPECIES VLASOV-POISSON-BOLTZMANN SYSTEM WITH SOFT POTENTIALS
YANG, D. O. N. G. C. H. E. N. G.
YU, H. O. N. G. J. U. N.
METHODS AND APPLICATIONS OF ANALYSIS, 2022, 29 (01) : 95 - 148

← 1 2 3 4 5 →