Work

Global large strong solution to the 3D incompressible MHD system with density-dependent viscosity

Year: 2024

Type: article

Abstract: In this paper, we investigate the Dirichlet problem of three-dimen-sional non-homogeneous incompressible MHD equations with density-dependent viscosity. Under the assumption that the viscosity coefficient $ \mu(\rho) $ is a power function of the density $ \mu(\rho) = \mu\rho^{\alpha} $ with $ \alpha>1 $, we establish the global existence and uniqueness of strong solutions as long as the initial data are sufficiently large. This is the first result concerning the global existence of strong solutions to the non-homogeneous incompressible MHD equations in three dimensions with large data.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2024178

Authors: Jie Fan, Yongteng Gu, Xiangdi Huang

Institutions: Chinese Academy of Sciences, Academy of Mathematics and Systems Science

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405800180

FWCI: 2.295

Cites: 27

Cited by: 3

Related to: 10