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- ItemSolvability of an unsaturated porous media flow problem with thermomechanical interaction(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Albers, Bettina; Krejc̆í, Pavel; Rocca, ElisabettaA 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.