BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alex (Oleksandr) Misiats (Virginia Commonwealth University) DTSTART:20241106T090000Z DTEND:20241106T100000Z DTSTAMP:20260417T004254Z UID:cam/52 DESCRIPTION:Title: Reg ularity and asymptotic properties of nonlocal stochastic evolution equatio ns arising in chemical and biomedical models\nby Alex (Oleksandr) Mis iats (Virginia Commonwealth University) as part of CAM seminar\n\nLecture held in MV:L15.\n\nAbstract\nThis talk is devoted to the influence of stoc hastic perturbations on the long time behavior of nonlocal evolution equat ions. I will start with a brief overview of the theory of stochastic evolu tion equations\, and their applications. I will specifically focus on two of such models: the bidomain model of heart tissue\, and the aggregation- diffusion equation (Keller-Segel model).\n\nThe nonlocal character of thes e equations can be present either in the differential operator (bidomain) or in the reaction term (Keller-Segel). Using the fundamental concepts in the area of stochastic analysis\, semigroup theory and PDEs\, in my talk\, I will address the effects of noise on the existence of global vs. local solutions (Keller-Segel) and their regularity\, as well as the existence o f invariant measures (for the bidomain model)\, which is the key step in e stablishing the qualitative behavior of the underlying physical system. \n \nThis is a joint project with Prof. Oleksandr Stanzhytskyi from Kyiv Nati onal University\, Ukraine.\n\nLivestreaming not possible this time due to unusual room.\n LOCATION:https://researchseminars.org/talk/cam/52/ END:VEVENT END:VCALENDAR