The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations

被引：163
作者：
Chen, Qionglei
Miao, Changxing
Zhang, Zhifei
机构：
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 275卷 / 03期
关键词：
D O I：
10.1007/s00220-007-0319-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the blow-up criterion of smooth solutions to the 3D MHD equations. By means of the Littlewood-Paley decomposition, we prove a Beale-Kato-Majda type blow-up criterion of smooth solutions via the vorticity of velocity only, namely sup (j is an element of Z) integral(T)(0) parallel to Delta(j)(del x u) parallel to(infinity) dt, where Delta(j) is the frequency localization operator in the Littlewood-Paley decomposition.
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页码：861 / 872
页数：12
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