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SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Lunedì 7 Luglio 2014 alle ore 12:15 in aula 1BC45 Olivier Glass (Parigi Dauphine) terrà un seminario dal titolo "Dynamics of a small solid in a perfect incompressible fluid".
We consider a solid in a perfect incompressible fluid in dimension two. The fluid is driven by the classical Euler equation, and the solid evolves under the influence of the pressure on its surface. We consider the limit of the system as the solid shrinks to a point. We obtain two different models in the limit. The first one is obtained when the mass of the solid and the circulation around it are fixed; in that case the system converges to a variant of Marchioro and Pulvirenti's vortex-wave system where the vortex, placed in the point occupied by the shrunk body, is accelerated by a lift force similar to the Kutta-Joukowski force. The second one is obtained when the mass of the solid and its density are fixed; in that case, we recover in the limit the vortex-wave system itself.
These results are obtained in collaboration with Christophe Lacave (Paris-Diderot), Alexandre Munnier (Nancy) and Franck Sueur (Paris 6).
Rif. Int. M. Bardi, E. Feleqi, F. Ancona