THE GLOBAL L2 STABILITY OF SOLUTIONS TO THREE DIMENSIONAL MHD EQUATIONS

doi:10.1016/S0252-9602(12)60208-2

Abstract

Abstract:

In this paper, we mainly study the global L² 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.

Key words: MHD equations, strong solutions, stability

CLC Number:

35Q35

LI Xian-Jin, CAI Xiao-Jing. THE GLOBAL L² STABILITY OF SOLUTIONS TO THREE DIMENSIONAL MHD EQUATIONS[J].Acta mathematica scientia,Series B, 2013, 33(1): 247-267.

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THE GLOBAL L² STABILITY OF SOLUTIONS TO THREE DIMENSIONAL MHD EQUATIONS

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