Orateur
Matthieu Ménard
(Université Paris Cité)
Description
In this talk, we will investigate the mean-field limit of a system of differential equations introduced by Richardson to model the evolution of small concentrated vortices in a lake of non-constant depth.
Namely, we will show that when the number of vortices becomes very large, their distribution converges to the solution of the lake equations. The latter can be seen as a variant of the planar Euler equations that take into account the topography of the lake.
This result is based on a modulated energy approach introduced by Duerinckx and Serfaty that we adapt to deal with the heterogeneity of the lake interactions.