Solvability of an unsaturated porous media flow problem with thermomechanical interaction
Analysis of PDEs
2016-06-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1601.02435,
title = {Solvability of an unsaturated porous media flow problem with thermomechanical interaction},
author = {Bettina Albers and Pavel Krejci and Elisabetta Rocca},
journal= {arXiv preprint arXiv:1601.02435},
year = {2016}
}