On the motion of a rigid body in a two-dimensional irregular ideal flow

Glass, Olivier; Sueur, Franck

Glass, Olivier; Sueur, Franck (2012), On the motion of a rigid body in a two-dimensional irregular ideal flow, SIAM Journal on Mathematical Analysis, 44, 5, p. 3101-3126. http://dx.doi.org/10.1137/110839539

Type

Article accepté pour publication ou publié

External document link

http://arxiv.org/abs/1107.0575v2

Date

2012

Journal name

SIAM Journal on Mathematical Analysis

Volume

Number

Publisher

SIAM

Pages

3101-3126

Abstract (EN)

We consider the motion of a rigid body immersed in an ideal flow occupying the plane, with bounded initial vorticity. In that case there exists a unique corresponding solution which is global in time, in the spirit of the famous work by Yudovich for the fluid alone. We prove that if the body's boundary is Gevrey then the body's trajectory is Gevrey. This extends the previous work [Glass-Sueur-Takahashi, 2011] to a case where the flow is irregular.

Subjects / Keywords

rigid bodies; flow