On the Motion of a Rigid Body in a Navier-Stokes Liquid under the Action of a Time-Periodic Force

被引：26
作者：
Galdi, Giovanni P. [1 ]
Silvestre, Ana L. [2 ,3 ]
机构：
[1] Univ Pittsburgh, Dept Mech Engn & Mat Sci, Pittsburgh, PA 15260 USA
[2] Univ Tecn Lisboa, Inst Super Tecn, Dept Math, Lisbon, Portugal
[3] Univ Tecn Lisboa, Inst Super Tecn, CEMAT, Lisbon, Portugal
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2009年 / 58卷 / 06期
基金：
美国国家科学基金会;
关键词：
rigid body; Navier-Stokes equations; exterior domain; periodic motions; Lefschetz fixed point theorem; EQUATIONS; EXISTENCE; FLOW;
D O I：
10.1512/iumj.2009.58.3758
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the motion of a rigid body in an infinite Navier-Stokes liquid under the action of a time-periodic external force. Assuming that, with respect to an inertial reference frame, the force acts along a fixed direction, we investigate the existence of weak and strong periodic solutions to the equations of the coupled system body-liquid.
引用
收藏
页码：2805 / 2842
页数：38
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