Speaker
Bérénice Grec
(Université Paris Cité)
Description
In this talk, we consider two models involving extremely strong potentials, the overdamped Langevin and kinetic Fokker-Planck equations. I will present some results on the long time behavior and both on the hydrodynamic limit and on the limit when the potential becomes stiff (confining the fluid to a domain and letting boundary conditions appear). This work is motivated by the kinetic derivation of immiscible fluid equations and can be viewed as a very first step. This is an ongoing work with Frédéric Hérau (LMJL, Nantes) and Hélène Mathis (IMAG, Montpellier).