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Unsaturated porous media flow with thermomechanical interaction
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SYSNO ASEP 0459879 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Unsaturated porous media flow with thermomechanical interaction Author(s) Albers, B. (DE)
Krejčí, Pavel (MU-W) RID, SAI, ORCIDSource Title Mathematical Methods in the Applied Sciences. - : Wiley - ISSN 0170-4214
Roč. 39, č. 9 (2016), s. 2220-2238Number of pages 19 s. Language eng - English Country GB - United Kingdom Keywords flows in porous media ; problems involving hysteresis Subject RIV BA - General Mathematics R&D Projects GA15-12227S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000378726300004 EID SCOPUS 84945161726 DOI 10.1002/mma.3635 Annotation We propose a model for unsaturated poro-plastic flow derived from the thermodynamic principles. For the isothermal case, the problem consists of a degenerate coupled system of two PDEs with two independent hysteresis operators describing hysteresis phenomena in both the solid and the pore fluids. Under natural hypotheses, we prove the existence of a global strong solution for this system. 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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