Stability and uniqueness of magnetic fluid motions

被引：26

作者：

Venkatasubramanian, S ^{[1
]}

Kaloni, PN ^{[1
]}

机构：

[1] Univ Windsor, Dept Math & Stat, Windsor, ON N9B 3P4, Canada

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2002年 / 458卷 / 2021期

关键词：

magnetic fluids; stability; uniqueness;

D O I：

10.1098/rspa.2001.0911

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We examine the uniqueness and asymptotic stability of the equilibrium and arbitrary flows for a general class of the governing equations for magnetic fluids. Stability bounds for equilibrium base flows in mechanically isolated domains are obtained and it is shown that, in general, these are asymptotically stable. For general, non-trivial flows, we obtain stability bounds and establish uniqueness theorems for the initial boundary-value problems of magnetic fluids.

引用

页码：1189 / 1204

页数：16

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