BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Valentin Calisti (Institute of Mathematics\, Czech Academy of Scie nces) DTSTART:20231030T144000Z DTEND:20231030T161000Z DTSTAMP:20260405T174415Z UID:NSCM/116 DESCRIPTION:Title: M inimization of blood damage induced by non-Newtonian fluid flows in moving domains\nby Valentin Calisti (Institute of Mathematics\, Czech Academ y of Sciences) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics\, Charles Universit y\, Sokolovská 83 Prague 8..\n\nAbstract\nMany engineering works are int erested in the parametric optimization of\nblood pumps to minimize hemolys is (destruction of red blood cells).\nIn order to generalize this approach \, we study the shape continuity of a\ncoupled system of PDEs modeling blo od flows and hemolysis evolution in\nmoving domains\, governed respectivel y by generalized Navier-Stokes and\ntransport equations.\n\nFirst\, the sh ape continuity of the blood flow solutions is shown. This\ndevelopment\, w hich extends the one led in (Sokolowski\, Stebel\, Evol.\nEqu. Control The ory\, 2014) to the case of shear thinning fluids\, is\nbased on the recent progress made in (Nägele\, Ružička\, J. Differential\nEquations\, 2018 )\, adapted to the present framework of a sequence of\nconverging moving d omains.\n\nAfter calculating blood flows solutions\, the velocity and stre ss fields\nare used as coefficients and r.h.s for the transport equation g overning\nthe evolution of the hemolysis rate. From this\, the shape conti nuity of\nthe hemolysis rate is also proved.\n\nFinally\, these results al low to show the existence of minimum for a\nclass of shape optimization pr oblems based on the minimization of the\nhemolysis rate\, in the framework of moving domains.\n LOCATION:https://researchseminars.org/talk/NSCM/116/ END:VEVENT END:VCALENDAR