Decay characterization of solutions to generalized Hall-MHD system in R3

被引：9
|
作者：
Zhao, Xiaopeng [1 ]
Zhu, Mingxuan [2 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
[2] Jiaxing Univ, Dept Math, Jiaxing 314001, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 07期
基金：
中国国家自然科学基金; 中国博士后科学基金; 浙江省自然科学基金;
关键词：
NAVIER-STOKES EQUATIONS; BLOW-UP CRITERIA; GLOBAL EXISTENCE; WELL-POSEDNESS; MAGNETO-HYDRODYNAMICS; MAGNETOHYDRODYNAMICS; REGULARITY; BEHAVIOR;
D O I：
10.1063/1.5040409
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the Fourier splitting method and the properties of decay character r*, we establish the time decay rate in the L-2-norm for the weak solutions and the higher-order derivative of solutions for the generalized Hall-magnetohydrodynamic equations in R 3. In particular, when (u(0), b(0)) is an element of H-s(R-3) boolean AND L-1(R-3) has decay character r* (u(0)) = r* (b(0)) = 0 and alpha = beta = 1, then we recover the previous results of Chae and Schonbek [J. Differ. Equations 255, 3971-3982 (2013)]. Published by AIP Publishing.
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页数：13
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