Unsaturated porous media flow with thermomechanical interaction

0459879 - MÚ 2017 RIV GB eng J - Článek v odborném periodiku
Albers, B. - Krejčí, Pavel
Unsaturated porous media flow with thermomechanical interaction.
Mathematical Methods in the Applied Sciences. Roč. 39, č. 9 (2016), s. 2220-2238. ISSN 0170-4214. E-ISSN 1099-1476
Grant CEP: GA ČR(CZ) GA15-12227S
Institucionální podpora: RVO:67985840
Klíčová slova: flows in porous media * problems involving hysteresis
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.017, rok: 2016
http://onlinelibrary.wiley.com/doi/10.1002/mma.3635/abstract

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.
Trvalý link: http://hdl.handle.net/11104/0260042