Orateur
Ludovic Godard-Cadillac
Description
The aim of this talk is to study the Cauchy theory for the vortex-wave system associated to the Surface Quasi-Geostrophic equation with parameter 0<s<1. We obtain local existence of classical solutions in H^4 under the standard "plateau hypothesis'', H^2-stability of the solutions, and a blow-up criterion. In the sub-critical case s>1/2 we establish global existence of weak solutions. For the critical case s=1/2, we introduced a weaker notion of solution (V-weak solutions) to give a meaning to the equation and prove global existence.
