Unsaturated porous media flow with thermomechanical interaction
Bettina Albers, Pavel Krejčı́ · Mathematical Methods in the Applied Sciences · 2015
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. Copyright © 2015 John Wiley & Sons, Ltd.