Optimal decay rate and convergence of the incompressible viscous resistive MHD system

被引：0

作者：

Hou, Yingxin ^{[1
]}

Zhou, Fujun ^{[1
]}

Xu, Yuan ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 534卷 / 01期

关键词：

Incompressible viscous resistive; MHD system; Global solutions; Optimal time decay rate; Blow-up criterion; NAVIER-STOKES EQUATIONS; LARGE TIME BEHAVIOR; SMOOTH SOLUTIONS; WEAK SOLUTIONS; MAXWELL SYSTEM; WELL-POSEDNESS; POISSON SYSTEM; OHMS LAW; L2; DECAY; REGULARITY;

D O I：

10.1016/j.jmaa.2023.128049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate the optimal Lp (p >= 2) time decay rate of global solutions to the incompressible viscous resistive MHD system with degeneration, and study its convergence to the incompressible viscous ideal MHD system as the resistivity epsilon goes to zero. The analysis is based on the high-low frequency decomposition and the uniform energy estimate of the system with respect to epsilon. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：32

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