BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maria Neuss-Radu (University of Erlangen) DTSTART:20250428T134000Z DTEND:20250428T151000Z DTSTAMP:20260405T174407Z UID:NSCM/178 DESCRIPTION:Title: E ffective interface laws for fluid flow and transport through reactive poro us membranes\nby Maria Neuss-Radu (University of Erlangen) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Facult y of Mathematics and Physics\, Charles University\, Sokolovská 83 Prague 8..\n\nAbstract\nWe consider a coupled model for fluid flow and transport in a domain consisting of two bulk regions separated by a thin porous lay er. The thickness of the layer is of order $\\varepsilon$ and the microsco pic structure of the layer is periodic in the tangential direction also wi th period $\\varepsilon$. The fluid flow is described by an instationary S tokes system\, properly scaled in the fluid part of the thin layer. The ev olution of the solute concentrations is described by a reaction-diffusion- advection equation in the fluid part of the domain and a diffusion equatio n (allowing different scaling in the diffusion coefficients) in the solid part of the layer. At the microscopic fluid-solid interface inside the lay er nonlinear reactions take place. This system is rigorously homogenized i n the limit $\\varepsilon \\to 0$\, based on weak and strong (two-scale) c ompactness results for the solutions. These are based on new embedding ine qualities for thin perforated layers including coupling to bulk domains. I n the limit\, effective interface laws for flow and transport are derived at the interface separating the two bulk regions. These interface laws ena ble effective mass transport through the membrane\, which is also an impor tant feature from an application point of view. This is a joint work with Markus Gahn (Universität Heidelberg).\n LOCATION:https://researchseminars.org/talk/NSCM/178/ END:VEVENT END:VCALENDAR