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

0359793 - MÚ 2012 RIV GB eng J - Journal Article
Feireisl, Eduard - Nečasová, Šárka
On the long-time behaviour of a rigid body immersed in a viscous fluid.
Applicable Analysis. Roč. 90, č. 1 (2011), s. 59-66. ISSN 0003-6811. E-ISSN 1563-504X
R&D Projects: GA ČR GA201/09/0917; GA AV ČR IAA100190804
Institutional research plan: CEZ:AV0Z10190503
Keywords : rigid body * viscous fluid * Navier-Stokes system
Subject RIV: BA - General Mathematics
Impact factor: 0.744, year: 2011
http://www.tandfonline.com/doi/abs/10.1080/00036811003735964

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.
Permanent Link: http://hdl.handle.net/11104/0197505