Solvability of an unsaturated porous media flow problem with thermomechanical interaction

0467681 - MÚ 2017 RIV US eng J - Journal Article
Detmann, B. - Krejčí, Pavel - Rocca, E.
Solvability of an unsaturated porous media flow problem with thermomechanical interaction.
SIAM Journal on Mathematical Analysis. Roč. 48, č. 6 (2016), s. 4175-4201. ISSN 0036-1410. E-ISSN 1095-7154
R&D Projects: GA ČR(CZ) GA15-12227S
Institutional support: RVO:67985840
Keywords : porous media * hysteresis * thermomechanical interactions
Subject RIV: BA - General Mathematics
Impact factor: 1.648, year: 2016
http://epubs.siam.org/doi/abs/10.1137/16M1056365

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.
Permanent Link: http://hdl.handle.net/11104/0265733