Asymptotic behavior of solutions to the nonstationary magneto-hydrodynamic equations

被引：1
|
作者：
Liu, Zhaoxia [1 ]
机构：
[1] Minzu Univ China, Sch Sci, Beijing 100081, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 185卷
关键词：
MHD equation; Strong solution; Asymptotic behavior; Half-space; NAVIER-STOKES EQUATIONS; LARGE-TIME BEHAVIOR; SPATIAL DECAYS; WEAK SOLUTIONS; L2; DECAY; FLOWS; SPACE;
D O I：
10.1016/j.na.2019.02.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Asymptotic behavior of the higher order spacial derivatives of the strong solution to the incompressible non-stationary magneto-hydrodynamic (MHD) equations is given in a half-space, which is a long-time difficult question. The main tools employed in this article are the non-stationary Stokes solution formula, and some a priori estimates of the steady Stokes system in the half-space. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：29 / 48
页数：20
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