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
收藏
页码：59 / 66
页数：8
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