文献类型：期刊文献

英文题名：Global solutions of 3D incompressible mhd system with mixed partial dissipation and magnetic diffusion near an equilibrium

作者：Jiahong, W.U.[1]; Yi, Z.H.U.[2]

机构：[1] Department of Mathematics, Oklahoma State University, Stillwater, OK, 74078, United States; [2] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2019

外文期刊名：arXiv

收录：EI(收录号：20200243438)

语种：英文

外文关键词：Magnetohydrodynamics - Navier Stokes equations

摘要：MSC Codes 35A01, 35B35, 35B65, 76D03, 76E25This paper focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed partial dissipation and magnetic diffusion. Our main result assesses the global stability of perturbations near the steady solution given by a background magnetic field. The stability problem on the MHD equations with partial or no dissipation has attracted considerable interests recently and there are substantial developments. The new stability result presented here is among the very few stability conclusions currently available for ideal or partially dissipated MHD equations. As a special consequence of the techniques introduced in this paper, we obtain the small data global well-posedness for the 3D incompressible Navier-Stokes equations without vertical dissipation. Copyright ? 2019, The Authors. All rights reserved.