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

被引：67

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

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