RELAXATION LIMIT AND GLOBAL EXISTENCE OF SMOOTH SOLUTIONS OF COMPRESSIBLE EULER-MAXWELL EQUATIONS

被引：60

作者：

Peng, Yue-Jun ^{[1
]}

Wang, Shu ^{[2
]}

Gu, Qilong ^{[3
]}

机构：

[1] CNRS, Math Lab, UMR 6620, F-63171 Aubiere, France

[2] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2011年 / 43卷 / 02期

关键词：

Euler-Maxwell equations; drift-diffusion equations; zero-relaxation limit; global existence of smooth solutions; DISSIPATIVE HYPERBOLIC SYSTEMS; QUASI-NEUTRAL LIMIT; HYDRODYNAMIC MODEL; POISSON SYSTEM; CONVEX ENTROPY; TIME LIMITS; SEMICONDUCTORS; CONVERGENCE; PLASMAS; PARAMETERS;

D O I：

10.1137/100786927

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider smooth periodic solutions for the Euler-Maxwell equations, which are a symmetrizable hyperbolic system of balance laws. We proved that as the relaxation time tends to zero, the Euler-Maxwell system converges to the drift-diffusion equations at least locally in time. The global existence of smooth solutions is established near a constant state with an asymptotic stability property.

引用

页码：944 / 970

页数：27

共 50 条

[31] Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system
Feng, Yue-Hong
Wang, Shu
Kawashima, Shuichi
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2014, 24 (14): : 2851 - 2884
[32] Existence of global smooth solutions for Euler equations with symmetry
Ying, LA
Yang, T
Zhu, CJ
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1997, 22 (7-8) : 1361 - 1387
[33] THE COMPRESSIBLE EULER EQUATIONS IN A BOUNDED DOMAIN - EXISTENCE OF SOLUTIONS AND THE INCOMPRESSIBLE LIMIT
SCHOCHET, S
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (01) : 49 - 75
[34] Global smooth solutions for the Euler equations of a perfect compressible fluid
Serre, D
ANNALES DE L INSTITUT FOURIER, 1997, 47 (01) : 139 - &
[35] Diffusive relaxation limit of classical solutions to the damped compressible Euler equations
Xu, Jiang
Kawashima, Shuichi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (02) : 771 - 796
[36] Initial layers and zero-relaxation limits of Euler-Maxwell equations
Hajjej, Mohamed-Lasmer
Peng, Yue-Jun
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (02) : 1441 - 1465
[37] The asymptotic behavior of globally smooth solutions of non-isentropic Euler-Maxwell equations for plasmas
Wang, Shu
Feng, Yue-Hong
Li, Xin
APPLIED MATHEMATICS AND COMPUTATION, 2014, 231 : 299 - 306
[38] UNIFORM GLOBAL EXISTENCE AND CONVERGENCE OF EULER-MAXWELL SYSTEMS WITH SMALL PARAMETERS
Wasiolek, Victor
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (06) : 2007 - 2021
[39] QUASINEUTRAL LIMIT FOR THE COMPRESSIBLE TWO-FLUID EULER-MAXWELL EQUATIONS FOR WELL-PREPARED INITIAL DATA
Li, Min
Pu, Xueke
Wang, Shu
ELECTRONIC RESEARCH ARCHIVE, 2020, 28 (02): : 879 - 895
[40] Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
KONG DeXing 1
2 Department of Mathematics
3 Department of Mathematics
Science China Mathematics, 2010, 53 (03) : 719 - 738

← 1 2 3 4 5 →