On the long-time behaviour of a rigid body immersed in a viscous fluid

被引：3

作者：

Feireisl, Eduard ^{[1
]}

Necasova, Sarka ^{[1
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, Prague 11567 1, Czech Republic

来源：

APPLICABLE ANALYSIS | 2011年 / 90卷 / 01期

关键词：

rigid body; viscous fluid; Navier-Stokes system; WEAK SOLUTIONS; BODIES; MOTION;

D O I：

10.1080/00036811003735964

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the motion of a single rigid ball in a bounded 2D-domain under the action of the gravitational force. We show that the position of the ball stabilizes to a single equilibrium as time tends to infinity provided the boundary of the domain does not contain 'flat' parts perpendicular to the vertical direction.

引用

页码：59 / 66

页数：8

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