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.
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