Title: On the motion of a rigid body in a Navier-Stokes liquid under the action of a time-periodic force

Authors: Giovanni P. Galdi and Ana L. Silvestre

Issue: Volume 58 (2009), Issue 6, 2805-2842

Abstract: 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.