Global strong solutions to the 3D incompressible MHD equations with density-dependent viscosity

被引：10
|
作者：
Yu, Haibo [1 ]
Zhang, Peixin [1 ]
Shi, Xiujuan [2 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China
[2] Yang En Univ, Dept Math, Quanzhou 362014, Fujian, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 08期
基金：
中国博士后科学基金;
关键词：
Global strong solution; Incompressible MHD equations; Density-dependent viscosity; Vacuum; NAVIER-STOKES EQUATIONS; MIXED PARTIAL DISSIPATION; BOUNDARY-VALUE PROBLEM; MAGNETIC DIFFUSION; WELL-POSEDNESS; REGULARITY; FLUIDS; SOLVABILITY; EXISTENCE; SYSTEM;
D O I：
10.1016/j.camwa.2018.01.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the 3D incompressible MHD equations with density dependent viscosity in smooth bounded domains. Through time-weighted a priori estimates, the global existence of strong solutions is established under the assumption that the initial energy is suitably small. This generalizes previous results for the 3D Navier-Stokes equations in Huang and Wang (2015) and Zhang (2015), which need II Vuollo to be small. The initial vacuum is allowed. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：2825 / 2834
页数：10
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