The Global Well-posedness for the 2D Leray-α MHD Equations with Zero Magnetic Diffusivity

被引：0
|
作者：
Qiong Lei CHEN [1 ]
机构：
[1] Institute of Applied Physics and Computational Mathematics
来源：
Acta Mathematica Sinica,English Series | 2016年 / 10期
关键词：
Leray-α-MHD equations; blow-up criterion; Littlewood–Paley decomposition;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程]; O35 [流体力学];
学科分类号：
070104 ; 080103 ; 080704 ;
摘要：
By means of Fourier frequency localization and Bony’s paraproduct decomposition,we study the global existence and the uniqueness of the 2D Leray-α Magneta-hydrodynamics model with zero magnetic diffusivity for the general initial data.In view of the profits bring by the α model,then using the energy estimate in the frequency space and the Logarithmic Sobolev inequality,we obtain the estimate ∫t0||?u|| Lds which is crucial to get the global existence for the general initial data.
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页码：1145 / 1158
页数：14
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