THE GLOBAL L2 STABILITY OF SOLUTIONS TO THREE DIMENSIONAL MHD EQUATIONS

被引：6
|
作者：
Li, Xianjin [1 ]
Cai, Xiaojing [2 ,3 ]
机构：
[1] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
[2] Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China
[3] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 01期
关键词：
MHD equations; strong solutions; stability; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; REGULARITY; DECAY; BEHAVIOR;
D O I：
10.1016/S0252-9602(12)60208-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we mainly study the global L-2 stability for large solutions to the MHD equations in three-dimensional bounded or unbounded domains. Under suitable conditions of the large solutions, it is shown that the large solutions are stable. And we obtain the equivalent condition of this stability condition. Moreover, the global existence and the stability of two-dimensional MHD equations under three-dimensional perturbations are also established.
引用
收藏
页码：247 / 267
页数：21
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