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.

引用

页码：2630 / 2656

页数：27

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