Regularity criteria for the 3D MHD equations in term of velocity

2013/12/04 by Bie, Qunyi, Wang, Qiru, Yao, Zhengan
#35B45 #35B65 #76W05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1312.1012

Abstract

In this paper we consider three-dimensional incompressible magnetohydrodynamics equations. By using interpolation inequalities in anisotropic Lebesgue space, we provide regularity criteria involving the velocity or alternatively involving the fractional derivative of velocity in one direction, which generalize some known results.

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