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Wednesday, July 9, 2025 - 16:15 in B2-238


Existence of martingale solutions to a stochastic kinetic model of chemotaxis

A talk in the Oberseminar Analysis series by
Anne Niesdroy

Abstract: This talk will focus on the existence of local and global in time weak martingale solutions for a stochastic version of the Othmer-Dunbar-Alt kinetic model of chemotaxis under suitable assumptions on the turning kernel and stochastic drift coefficients, using dispersion and stochastic Strichartz estimates. The analysis is based on new Strichartz estimates for stochastic kinetic transport. The derivation of these estimates involves a local in time dispersion analysis using properties of stochastic flows, and a time-splitting argument to extend the local in time results to arbitrary time intervals. This is based on joint work with Benjamin Gess and Sebastian Herr. Zoom info: Link: https://uni-bielefeld.zoom-x.de/j/62228418411?pwd=bkNteGxqMGFRemZhOWRwek1tNGtkUT09 Meeting-ID: [622 2841 8411] Passcode: [058508]

Within the CRC this talk is associated to the project(s): A8



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