Special Session 89: 

A two-scale pressure model: well-posedness and inverse stability estimates

Martin Lind
Karlstad University
Sweden
Co-Author(s):    Adrian Muntean, Omar Richardson
Abstract:
We consider a coupled micro-macro parabolic-elliptic system modeling the interplay between two pressures in a gas-liquid mixture close to equilibrium that is filling a porous media with distributed microstructures. We establish well-posedness as well as other properties of the system. We also obtain local stability of the inverse micro-macro Robin transfer coefficient.