Article ID Journal Published Year Pages File Type
1707612 Applied Mathematics Letters 2015 4 Pages PDF
Abstract

We prove a new scaling invariant regularity criterion for the 3D MHD equations via horizontal gradient of horizontal components of weak solutions. This result improves a recent work by Ni et al. (2012), in the sense that the assumption on the horizontal gradient of the vertical components is removed. As a byproduct, a scaling invariant regularity criterion involving vertical components of vorticity and current density is also obtained.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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