BooksStandalone TitlesCollected Volumepp. 219–234

Periodic waves in unsaturated porous media with hysteresis

  • Bettina Detmann

    Universität Duisburg-Essen, Germany

  • Pavel Krejčí

    Academy of Sciences, Prague, Czechia

  • Elisabetta Rocca

    Università degli Studi di Pavia, Italy
Periodic waves in unsaturated porous media with hysteresis cover

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Abstract

We 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.