7 dec 2005
Abstract.
Seminario di Analisi Analysis seminar
when: Wednesady, December 7, at 16 pm
where: Dipartimento di Matematica, Sala Riunioni
speaker: Guy Metivier (Université de Bordeaux 1)
title: Yudovitch theorem for the lake equation
abstract: The lake equation reads $\partial_t (b u) + div ( b u \otimes u) + \nabla p = 0$, $div ( b u ) = 0$ on a 2-D domain and $(b u) \cdot n = 0$ on the boundary. The function $b(x) > 0$ represents the topography of the bottom. When $b$ is constant, this is the standard incompressible 2-D Euler system. We extend Yudovitch theorem to cases where $b$ vanishes on the boundary.