In this article we propose a finite-volume discretization of a one-dimensional nonlinear
reaction kinetic model proposed in, which describes a two-species recombination …

An implicit Euler finite-volume scheme for a nonlocal cross-diffusion system on the one-
dimensional torus, arising in population dynamics, is proposed and analyzed. The kernels …

In this work, we propose adaptive deep learning approaches based on normalizing flows for
solving fractional Fokker–Planck equations (FPEs). The solution of a FPE is a probability …

In this work, we propose adaptive deep learning approaches based on normalizing flows for
solving fractional Fokker-Planck equations (FPEs). The solution of a FPE is a probability …

In this paper, we introduce and analyze a numerical scheme for solving the Cauchy-Dirichlet
problem associated with fractional nonlinear diffusion equations. These equations …

Systems including cross-diffusion, ie the process where the flux of one component or
speciesis induced by the gradient of another component or species, have received …

Dans cette thèse nous étudions les équations d'agrégation-diffusion, qui apparaissent dans
la modélisation de mouvement collectifs. Nous nous intéressons aux solutions mesures de …

The works presented in this memoir are about various equations of kinetic theory
(Boltzmann, Landau, Fokker-Planck) and are structured around two main axes:-develop a …

Cette thèse porte sur le développement et l'analyse de méthodes numériques performantes
pour l'approximation des solutions d'équations cinétiques collisionnelles éventuellement …