Orateur
Description
In this talk, I will present a finite volume discretization of a 1D nonlinear kinetic reaction model, which describes a two-species recombination-generation process. More specifically, we establish the long-time convergence of the approximate solutions to equilibrium, at an exponential rate. To do this, we adapt the proof proposed in [Favre, Pirner, Schmeiser, ARMA 2023], based on an adaptation of the hypocoercivity method of [Dolbeault, Mouhot, Schmeiser, Trans. Amer. Math. Soc. 2015]. As in the continuous setting, this result is valid for bounded initial data and requires establishing a maximum principle, which necessitates the use of monotonic numerical fluxes.
This is a joint work with Tino Laidin (Univ. Brest) and Thomas Rey (Univ. Nice).