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.
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页码：944 / 970
页数：27
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