BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maria Neuss-Radu (University of Erlangen-Nuremberg) DTSTART:20210524T134000Z DTEND:20210524T151000Z DTSTAMP:20260405T174545Z UID:NSCM/28 DESCRIPTION:Title: Ho mogenization of a reaction-diffusion-advection problem in an evolving mic ro-domain and including nonlinear boundary conditions\nby Maria Neuss- Radu (University of Erlangen-Nuremberg) as part of Nečas Seminar on Conti nuum Mechanics\n\n\nAbstract\nWe consider a reaction-diffusion-advection p roblem in a \nperforated medium\, with nonlinear reactions in the bulk and at the \nmicroscopic boundary\, and slow diffusion scaling. The microstru cture \nchanges in time\; the microstructural evolution is known a priori. The \naim of the paper is the rigorous derivation of a homogenized model. We \nuse appropriately scaled function spaces\, which allow us to show \n compactness results\, especially regarding the time-derivative and we \npr ove strong two-scale compactness results of Kolmogorov-Simon-type\, \nwhic h allow to pass to the limit in the nonlinear terms. The derived \nmacrosc opic model depends on the micro- and the macro-variable\, and the \nevolut ion of the underlying microstructure is approximated by time- and \nspace- dependent reference elements. This is a joint work with Markus \nGahn (Uni versity of Heidelberg) and Iuliu Sorin Pop (Hasselt \nUniversity).\n LOCATION:https://researchseminars.org/talk/NSCM/28/ END:VEVENT END:VCALENDAR