Partial Regularity for the 3D Magneto-hydrodynamics System with Hyper-dissipation

被引：0

作者：

Wei REN ^{[1
]}

Gang WU ^{[2
]}

机构：

[1] Department of Mathematics and Systems Science,BeiHang University

[2] School of Mathematical Science,University of Chinese Academy of

来源：

ActaMathematicaSinica | 2015年 / 31卷 / 07期

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摘要：

We prove that for the 3D MHD equations with hyper-dissipations（-△）α（1<α<5/4）the Hausdorff dimension of singular set at the first blowing up time is at most 5-4α,by means of physical and frequency localization,Bony's paraproduct and Littlewood-Paley theory.

引用

页数：16

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