The Verigin problem with phase transition as Wasserstein flow

par Alice Marveggio (HCM Bonn)

mercredi 25 juin 2025, 10:00 → 11:30 Europe/Paris

112 (Braconnier)

We study the modeling of a compressible two-phase flow in a porous medium.
The governing PDE system is known as the Verigin problem with phase
transition, which is the compressible analog to the Muskat problem. Our aim
is to prove the convergence of an implicit time discretization scheme using
the Wasserstein distance, obtaining distributional solutions in the limit
that satisfy an optimal energy-dissipation rate.
This talk is based on a joint work with Anna Kubin and Tim Laux.