Solvability of an unsaturated porous media flow problem with thermomechanical interaction
- Albers, Bettina
- Krejčí, Pavel
- Rocca, Elisabetta
2010 Mathematics Subject Classification
- 76S05 74H20 74N30
- Porous Media, Existence of solutions, Hysteresis
A PDE system consisting of the momentum balance, mass balance, and energy balance equations for displacement, capillary pressure, and temperature as a model for unsaturated fluid flow in a porous viscoelastoplastic solid is shown to admit a solution under appropriate assumptions on the constitutive behavior. The problem involves two hysteresis operators accounting for plastic and capillary hysteresis.
- SIAM J. Math. Anal., 48:6 (2016) pp. 4175--4201, changed name of first author to B. Detmann.