Adriana Valentina Busuioc
Institut Camille Jordan, Université Jean Monnet Saint-Etienne, France

Convergence of $\alpha$-Euler to Euler for low regularity We consider the $\alpha$-Euler equations on a bounded domain with Dirichlet boundary conditions in dimension two. We prove the convergence to the Euler equations when $\alpha$ goes to 0 when the potential vorticity belongs to $L^p$ with $ p \geq 1$ or is a bounded positive measure.