Séminaire du CERAMATHS - DMATHS : exposé d'Ioana Ciotir

Le séminaire du département de mathématiques du CÉRAMATHS accueillera à 14h Ioana Ciotir (INSA Rouen), jeudi 23 octobre 2025, pour l'exposé suivant :

Stochastic porous media equation with Robin boundary conditions, gravity-driven infiltration and multiplicative noise  

We aim at studying a new mathematical model associated to a physical phenomenon of infiltration in an homogeneous porous medium. The particularities of our system are connected to the presence of a gravitational acceleration term proportional to the level of saturation, and of a Brownian multiplicative perturbation. Furthermore, the boundary conditions intervene in a Robin manner with the distinction of the behavior along the inflow and outflow respectively. We provide qualitative results of well-posedness, the investigation being conducted through a functional approach.