GLOBAL SMALL SOLUTION TO THE 2D MHD SYSTEM WITH A VELOCITY DAMPING TERM

被引：90
|
作者：
Wu, Jiahong [1 ]
Wu, Yifei [2 ,3 ]
Xu, Xiaojing [2 ,3 ]
机构：
[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[3] Minist Educ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2015年 / 47卷 / 04期
关键词：
MHD equations; global existence; velocity damping; MAGNETO-HYDRODYNAMICS EQUATIONS; MAGNETOHYDRODYNAMIC EQUATIONS; WEAK SOLUTIONS; REGULARITY; DIFFUSION; CRITERION; DISSIPATION;
D O I：
10.1137/140985445
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the global well-posedness of the incompressible magnetohydrodynamic (MHD) system with a velocity damping term. We establish the global existence and uniqueness of smooth solutions when the initial data is close to an equilibrium state. In addition, explicit large-time decay rates for various Sobolev norms of the solutions are also given.
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页码：2630 / 2656
页数：27
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