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Solvability of an unsaturated porous media flow problem with thermomechanical interaction
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SYSNO ASEP 0467681 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Solvability of an unsaturated porous media flow problem with thermomechanical interaction Author(s) Detmann, B. (DE)
Krejčí, Pavel (MU-W) RID, SAI, ORCID
Rocca, E. (IT)Source Title SIAM Journal on Mathematical Analysis. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0036-1410
Roč. 48, č. 6 (2016), s. 4175-4201Number of pages 27 s. Language eng - English Country US - United States Keywords porous media ; hysteresis ; thermomechanical interactions Subject RIV BA - General Mathematics R&D Projects GA15-12227S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000391857800020 EID SCOPUS 85007137834 DOI 10.1137/16M1056365 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2017
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