Calculus of Variations and Geometric Measure Theory

Yudovitch theorem for the lake equation

Guy Metivier ((Université de Bordeaux 1)

created by alberti on 14 Nov 2005

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.