BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:George Avalos (UNIVERSITY of NEBRASKA–LINCOLN) DTSTART:20220516T134000Z DTEND:20220516T151000Z DTSTAMP:20260405T175452Z UID:NSCM/58 DESCRIPTION:Title: Co ncerning the strong and uniform decay of solutions to coupled fluid/multi layered structure PDE dynamics\nby George Avalos (UNIVERSITY of NEBRA SKA–LINCOLN) as part of Nečas Seminar on Continuum Mechanics\n\n\nAbstr act\nIn this talk\, we will discuss our recent work on a certain\n multila yered structure-fluid interaction (FSI) which arises in the\n modeling of vascular blood flow. The coupled PDE system under our\n consideration math ematically accounts for the fact that mammalian\n veins and arteries are t ypically composed of various layers of\n tissues: each layer will generall y manifest its own intrinsic material\n properties\, and will moreover be separated from the other layers by\n thin elastic laminae. Consequently\, the resulting modeling FSI system\n will manifest an additional PDE\, whic h evolves on the boundary\n interface\, so as to account for the thin elas tic layer. (This is in\n contrast to the FSI PDE’s which appear in the l iterature\, wherein\n elastic dynamics are largely absent on the boundary interface.) As\n such\, the PDE system will constitute a coupling of 3D fl uid-2D\n elastic-3D elastic dynamics. For this multilayered FSI system\, w e will\n in particular present results of strong stability for finite ener gy\n solutions\, and polynomial decay for sufficiently regular solutions.\ n This is joint work with Pelin Güven Geredeli and Boris Muha.\n LOCATION:https://researchseminars.org/talk/NSCM/58/ END:VEVENT END:VCALENDAR