Tuesday, June 4, 2024 - 11:00 in ZiF
Stochastic porous media equation with Robin boundary conditions, gravity-driven infiltration and multiplicative noise
A talk in the Harmonic and Stochastic Analysis of Dispersive PDEs series by
Ioana Ciotir from INSA Rouen
| Abstract: |
We aim at studying a novel 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.
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