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

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.
Document type :
Journal articles

Cited literature [9 references]

https://hal.archives-ouvertes.fr/hal-00682976
Contributor : Franck Sueur <>
Submitted on : Tuesday, March 27, 2012 - 2:22:18 PM
Last modification on : Wednesday, December 9, 2020 - 3:44:41 AM
Long-term archiving on: : Thursday, June 28, 2012 - 2:33:24 AM

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### Identifiers

• HAL Id : hal-00682976, version 1
• ARXIV : 1203.5988

### Citation

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

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