Existence, uniqueness and decay rates of a certain type of 3D Hall-MHD equations with power-law type

被引：0
作者：
Kim, Jae-Myoung [1 ]
机构：
[1] Andong Natl Univ, Dept Math Educ, Andong, South Korea
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2024年 / 14卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Existence; Non-Newtonian; MHD equations; Hall term; Regular solutions; Decay rate; NON-NEWTONIAN FLUIDS; SPACE-TIME DECAY; NAVIER-STOKES; GLOBAL EXISTENCE; RESISTIVE MHD; SYSTEM; BEHAVIOR; FLOW;
D O I：
10.1007/s13324-024-00882-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the local-in-time existence results of classical solutions to the 3D (Hall-)MHD equations with power-law type nonlinear viscous fluid when magnetic resistance is vanished and also show the global-in-time existence of classical solutions under small initial data. Moreover, we prove the space-time decay property for these solutions.
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页数：18
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