WIAS Preprint No. 2211, (2016)

Solvability of an unsaturated porous media flow problem with thermomechanical interaction


  • Albers, Bettina
    ORCID: 0000-0003-4460-9152
  • Krejčí, Pavel
    ORCID: 0000-0002-7579-6002
  • Rocca, Elisabetta
    ORCID: 0000-0002-9930-907X

2010 Mathematics Subject Classification

  • 76S05 74H20 74N30


  • Porous Media, Existence of solutions, Hysteresis




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.

Appeared in

  • SIAM J. Math. Anal., 48:6 (2016) pp. 4175--4201, changed name of first author to B. Detmann.

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