BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pavel Krejčí (Czech Technical University in Prague\, Faculty of Civil Engineering) DTSTART:20240520T134000Z DTEND:20240520T151000Z DTSTAMP:20260405T175159Z UID:NSCM/144 DESCRIPTION:Title: H ysteresis in porous media\nby Pavel Krejčí (Czech Technical Universi ty in Prague\, Faculty of Civil Engineering) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathematics a nd Physics\, Charles University\, Sokolovská 83 Prague 8..\n\nAbstract\n We propose a model for fluid diffusion in partially saturated porous media taking\ninto account saturation-dependent permeability as well as hystere sis effects in the pressure saturation relation. The resulting mathematica l problem leads to a diffusion equation for\nthe pressure in an N-dimensio nal domain with a Preisach hysteresis operator under the time\nderivative and in the diffusion coefficient. The problem is doubly degenerate in the sense\nthat the saturation range is bounded\, and no a priori control of t he time derivative of the\npressure is available. We discuss the condition s for existence and uniqueness of a solution\nto the problem with or witho ut gravity effects in appropriate function spaces\, as well as the\nquesti on of bounded speed of propagation. This is a joint work with Chiara Gavio li.\n LOCATION:https://researchseminars.org/talk/NSCM/144/ END:VEVENT END:VCALENDAR