Global well-posedness for the 3D inhomogeneous incompressible magnetohydrodynamics system with axisymmetric data

被引：1

作者：

Liu, Wenjuan ^{[1
]}

机构：

[1] Northwest Univ, Sch Math, Xian 710069, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 539卷 / 01期

关键词：

Inhomogeneous MHD system; Axisymmetric flows; Global well-posedness; RESISTIVE MHD EQUATIONS; AXIALLY-SYMMETRIC FLOWS; REGULARITY CRITERIA;

D O I：

10.1016/j.jmaa.2024.128459

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We focus on the Cauchy problem of 3D inhomogeneous incompressible magnetohydrodynamics (MHD for short) system with axisymmetric initial data. It is shown that this MHD system has a unique global solution provided that ||1/r(1/rho(0) - 1)||(L infinity) is sufficiently small. Finally, we establish the L-2 decay rate for any given globally smooth solution of the MHD system by using the Schonbek's Fourier splitting method. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：29

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