July/August 2014 Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system
Olivier Glass, Franck Sueur
Differential Integral Equations 27(7/8): 625-642 (July/August 2014). DOI: 10.57262/die/1399395745

Abstract

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 $L^p$ with $p\gt 1$ and is compactly supported. We do not assume that the energy is finite.

Citation

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Olivier Glass. Franck Sueur. "Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system." Differential Integral Equations 27 (7/8) 625 - 642, July/August 2014. https://doi.org/10.57262/die/1399395745

Information

Published: July/August 2014
First available in Project Euclid: 6 May 2014

zbMATH: 1340.76018
MathSciNet: MR3200756
Digital Object Identifier: 10.57262/die/1399395745

Subjects:
Primary: 74F10 , 76B99

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.27 • No. 7/8 • July/August 2014
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