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

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
27
Number
7-8
Publisher
Khayyam Publishing
Pages
625-642
Publication identifier
http://projecteuclid.org/euclid.die/1399395745
Metadata
Show full item record
Author(s)
Sueur, Franck
Glass, Olivier
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

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