Global Existence of Smooth Solutions to Three Dimensional Hall-MHD System with Mixed Partial Viscosity

被引：0
作者：
Wang Yuzhu [1 ]
机构：
[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 34卷 / 01期
关键词：
Hall-MHD system with mixed viscosity; global existence; smooth solutions; REGULARITY CRITERION; WELL-POSEDNESS; PARTIAL DISSIPATION; EQUATIONS; TURBULENCE; DECAY;
D O I：
10.4208/jpde.v34.n1.1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the global existence of smooth solutions to the three dimensional generalized Hall-MHD system with mixed partial viscosity in this work. The diffusion of mixed partial viscosity is weaker than that of full viscosity, which cases new difficulty in proving global smooth solutions. Moreover, Hall term heightens the level of nonlinearity of the standard MHD system. Global smooth solutions are established by using energy method and the bootstrapping argument, provided that the initial data is enough small.
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页码：1 / 13
页数：13
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