Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system.

Sueur, Franck; Glass, Olivier

Sueur, Franck; Glass, Olivier (2014), Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system., Differential and Integral Equations, 27, 7-8, p. 625-642. http://projecteuclid.org/euclid.die/1399395745

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00682976

Date

2014

Journal name

Differential and Integral Equations

Volume

Number

7-8

Publisher

Khayyam Publishing

Pages

625-642

Abstract (EN)

In this note, we consider the motion of a solid body in an incompressible perfect fluid filling the plane. We prove the global existence of solutions in the case where the initial vorticity belongs to Lp with p>1 and is compactly supported. We do not assume that the energy is finite.

Subjects / Keywords

euler system; incompressible perfect fluid