Existence of time-periodic solutions to the Navier–Stokes equations around a moving body

Giovanni P. Galdi and Ana L. Silvestre

Vol. 223 (2006), No. 2, 251–267

DOI: 10.2140/pjm.2006.223.251

Abstract

We demonstrate the existence of time-periodic motions of an incompressible Navier–Stokes fluid subject to a time-periodic body force, occupying the region exterior to a body that performs a periodic rigid motion of same period.

Keywords

Navier–Stokes equations, time-periodic solutions, moving obstacle

Mathematical Subject Classification 2000

Primary: 76D03, 76D05, 35Q35

Milestones

Received: 11 May 2004

Accepted: 12 October 2004

Published: 1 February 2006