CERAMATHS - DMATHS seminar: presentation by Ioana Ciotir

The CÉRAMATHS mathematics department seminar will welcome Ioana Ciotir (INSA Rouen) at 2pm, Thursday October 23, 2025, for the following talk:

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.