Boundary regularity of rotating vortex patches
Joan Eugeni Mateu,
(Universitat Autonoma de Barcelona)
Jueves 8 de noviembre 2012
Boundary regularity of rotating vortex patches
Abstract: In this talk we will introduce the notion of vortex patch
and we will show that the boundary of a rotating vortex patch is
C{\infty} when the patch is close to the bifurcation circle in the
Lipschit norm. The rotating patch is also convex if it is close to the
bifurcation circle in the C^2 norm. Our proofs are based on Burbea's
approach to V-states.