REGULARITY CRITERIA FOR THE MAGNETOHYDRODYNAMIC EQUATIONS WITH PARTIAL VISCOUS TERMS AND THE LERAY-α-MHD MODEL

被引：35

作者：

Fan, Jishan ^{[1
]}

Ozawa, Tohru ^{[2
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

[2] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan

来源：

关键词：

MHD equations; regularity criterion; Leray-alpha-MHD model; interpolation inequality in Besov spaces; NAVIER-STOKES EQUATIONS; CAMASSA-HOLM EQUATIONS; EVOLUTION-EQUATIONS; WEAK SOLUTIONS; BESOV-SPACES; TURBULENCE; INEQUALITIES; EULER;

D O I：

10.3934/krm.2009.2.293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some regularity conditions for the MHD equations with partial viscous terms and the Leray-alpha-MHD model. Since the solutions to the Leray-alpha-MHD model are smoother than that of the original MHD equations, we are able to obtain better regularity conditions in terms of the magnetic field B only.

引用

页码：293 / 305

页数：13

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