Journal Articles Differential and integral equations Year : 2014

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

Franck Sueur

Abstract

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.
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Dates and versions

hal-00682976 , version 1 (27-03-2012)

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Olivier Glass, Franck Sueur. Low regularity solutions for the two-dimensional ''rigid body + incompressible Euler" system.. Differential and integral equations, 2014, 27 (7-8), pp.625-642. ⟨hal-00682976⟩
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