WIAS Preprint No. 2211, (2016)
Solvability of an unsaturated porous media flow problem with thermomechanical interaction
Authors
- Albers, Bettina
ORCID: 0000-0003-4460-9152 - Krejčí, Pavel
ORCID: 0000-0002-7579-6002 - Rocca, Elisabetta
ORCID: 0000-0002-9930-907X
2010 Mathematics Subject Classification
- 76S05 74H20 74N30
Keywords
- Porous Media, Existence of solutions, Hysteresis
DOI
Abstract
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.
Appeared in
- SIAM J. Math. Anal., 48:6 (2016) pp. 4175--4201, changed name of first author to B. Detmann.
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