Number of the records: 1  

Solvability of an unsaturated porous media flow problem with thermomechanical interaction

  1. 1.
    0467681 - MU-W 2017 RIV US eng J - Journal Article
    Detmann, B. - Krejčí, Pavel - Rocca, E.
    Solvability of an unsaturated porous media flow problem with thermomechanical interaction.
    SIAM Journal on Mathematical Analysis. Roč. 48, č. 6 (2016), s. 4175-4201. ISSN 0036-1410
    R&D Projects: GA ČR(CZ) GA15-12227S
    Institutional support: RVO:67985840
    Keywords : porous media * hysteresis * thermomechanical interactions
    Subject RIV: BA - General Mathematics
    Impact factor: 1.648, year: 2016
    http://epubs.siam.org/doi/abs/10.1137/16M1056365

    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.
    Permanent Link: http://hdl.handle.net/11104/0265733
    FileDownloadSizeCommentaryVersionAccess
    Krejci10.pdf1292.3 KBPublisher’s postprintrequire