Global strong solutions to the nonhomogeneous incompressible MHD equations in a bounded domain

摘要

In this paper we study the global existence of strong solutions to the 2D and 3D nonhomogeneous incompressible magnetohydrodynamic equations in a bounded domain. Our proofs are based on the combination of the regularity criterion and an abstract bootstrap argument, which provides a new way to establish the global well-posedness of strong solutions. (C) 2018 Elsevier Ltd. All rights reserved.