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：Wu, Jiahong[1];Zhu, Yi[2]

机构：[1]Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2021

卷号：377

外文期刊名：ADVANCES IN MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000601332900012)】；

基金：Jiahong Wu is partially supported by NSF grant DMS 1624146, the Simons Foundation grant (Award number 708968) and the AT&T Foundation at Oklahoma State University (No. 22-52300). Yi Zhu is partially supported by Shanghai Sailing Program (No. 18YF1405500) and NSFC (No. 11801175).

语种：英文

外文关键词：3D magnetohydrodynamic equations; Background magnetic field; Mixed dissipation; Stability

摘要：This 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. (C) 2020 Elsevier Inc. All rights reserved.