Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471714 | Applied Mathematics Letters | 2017 | 5 Pages |
Abstract
This paper considers the global regularity to the 3D generalized MHD equations with the fractional dissipation and magnetic diffusion (âÎ)α for 0<α<5â4. Let μ, ν, u and b denote the viscosity coefficient, magnetic diffusivity, velocity field and magnetic field, respectively. It is shown that â(u,b)âHs
(s>5â2âα) is globally bounded as long as |μâν|(μ+ν)â1 and HÌ52â2α-norm on (u0âb0) or (u0+b0) sufficiently small, which generalizes the previous result about large solutions in He et al. (2014).
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Haibo Yu, Hao Xu, Mingxuan Zhu,