On the global regularity of two-dimensional generalized magnetohydrodynamics system

被引：57

作者：

Yamazaki, Kazuo ^{[1
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 416卷 / 01期

关键词：

Global regularity; Magnetohydrodynamics system; Navier-Stokes system; QUASI-GEOSTROPHIC EQUATION; MAXIMUM PRINCIPLE; MHD EQUATIONS; CRITERIA;

D O I：

10.1016/j.jmaa.2014.02.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the two-dimensional generalized magnetohydrodynamics system with dissipation and diffusion in terms of fractional Laplacians. In particular, in the case where the diffusion term has the power beta = 1, in contrast to the previous result of alpha >= 1/2, we show that alpha > 1/3 suffices in order for the solution pair of velocity and magnetic fields to remain smooth for all time. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：99 / 111

页数：13

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