SEMINAIRE MERCREDI 22 JUIN 2005
14 heures
Salle Séminaire 5
Centre de Physique Théorique
Marseille-Luminy

Stefanella Boatto
Institut Henri Poincaré, Paris
& Dept. of Mathematics & Statistics, McMaster University, Canada

Titre: Periodic solutions of Euler equation on a sphere

Résumé: Classes of steady and periodic solutions are investigated for the
incompressible Euler equation. Of particular interest is the stability
of "discrete solutions" of the type of point-vortices on the plane and
on the sphere,on domains without boundaries and outside a cylinder.
The study makes use of an infinite dimensional Hamiltonian formulation
of the vorticity equation when the rotation of a planet is taken into
account (see T.G. Shepherd, Hamiltonian Dynamics, Encyclopedia of
Atmospheric Sciences, Academic Press, pp 929-938, 2003)