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Periodic waves in unsaturated porous media with hysteresis

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    SYSNO ASEP0492039
    Document TypeC - Proceedings Paper (int. conf.)
    R&D Document TypeConference Paper
    TitlePeriodic waves in unsaturated porous media with hysteresis
    Author(s) Detmann, B. (DE)
    Krejčí, Pavel (MU-W) RID, SAI, ORCID
    Rocca, E. (IT)
    Source TitleEuropean Congress of Mathematics: Berlin, July 18–22, 2016. - Zürich : European Mathematical Society Publishing House, 2018 / Mehrmann V. ; Skutella M. - ISBN 978-3-03719-176-7
    Pagess. 219-234
    Number of pages16 s.
    Publication formPrint - P
    ActionEuropean Congress of Mathematics
    Event date18.07.2016 - 22.07.2016
    VEvent locationBerlin
    CountryDE - Germany
    Event typeWRD
    Languageeng - English
    CountryCH - Switzerland
    Keywordsporous media ; hysteresis ; periodic solutions
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA15-12227S GA ČR - Czech Science Foundation (CSF)
    Institutional supportMU-W - RVO:67985840
    AnnotationWe consider a PDE system with degenerate hysteresis describing unsaturated flow in 3D porous media. Assuming that a time periodic forcing is prescribed on the boundary, we prove that a time periodic response exists as long as the amplitude of the forcing terms is small enough to keep the solution within the convexity domain of the hysteresis operator.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2019
Number of the records: 1  

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