Einladung zum Vortrag (Zoom) von Herrn Dr. Roberto Natalini (CNR Rom) am 30.03.2022 - 16:00 Uhr im Rahmen des Forschungsseminars Analysis[30.03.2022]
Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 30.03.2022, um 16:00 Uhr, Herr Dr. Roberto Natalini (CNR Rom) einen Vortrag zum Thema:
Mean field and macroscopic limits for hybrid model of cell motion
Abstract: In this talk I focus on a quite general class of hybrid mathematical models of collective mo- tions of cells under the influence of chemical stimuli. The models are hybrid in the sense that cells are discrete entities given by ODE, while the chemoattractant is considered as a continuous signal which solves a diffusive equation. For these models it is possible to prove the mean-field limit in the Wasser- stein distance to a system given by the coupling of a Vlasov-type equation with the chemoattractant equation. This approach and results are not based on empirical measures, but rather on marginals of large number of individuals densities, and we show the limit with explicit bounds, by proving also exis- tence and uniqueness for the limit system. In the monokinetic case we derive new pressureless nonlocal Euler-type model with chemotaxis.
These results have been obtained in collaboration with Thierry Paul.
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