Asymptotic behavior of the stationary magnetohydrodynamic equations in an exterior domain

被引：0

作者：

Fan, Huiying ^{[1
]}

Wang, Meng ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 11期

关键词：

NAVIER-STOKES EQUATION; DECAY; EXISTENCE; SYSTEM;

D O I：

10.1063/5.0058652

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the asymptotic behavior of solutions to the incompressible magnetohydrodynamic (MHD) equations in an exterior domain. We will show that, under some assumption, any nontrivial velocity field u and magnetic field h obey a minimal decaying rate exp(-C|x|(2) log |x|) at infinity. Our proof is based on appropriate Carleman estimates. As a consequence, we establish a Liouville-type result for the three dimensional incompressible MHDs in an exterior domain.

引用

页数：12

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