arXiv Analytics

Sign in

arXiv:1203.5988 [math.AP]AbstractReferencesReviewsResources

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

Olivier Glass, Franck Sueur

Published 2012-03-27Version 1

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

Related articles: Most relevant | Search more
arXiv:1811.10504 [math.AP] (Published 2018-11-26)
Low regularity solutions for gravity water waves II: The 2D case
arXiv:1104.3832 [math.AP] (Published 2011-04-19)
On approximate solutions of the incompressible Euler and Navier-Stokes equations
arXiv:1209.3841 [math.AP] (Published 2012-09-18)
Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge