Regularity criteria for the incompressible magnetohydrodynamic flows with density-dependent viscosity coefficient

摘要

This paper proves a regularity criterion for 3D density-dependent incompressible magneto hydrodynamic flows with density-dependent viscosity coefficient. In particular, we build a blowup criterion just in terms of the gradient of density and velocity, and the initial density need not be strictly positive. (C) 2017 Elsevier Ltd. All rights reserved.