Quantitative hypocoercivity results for kinetic equations in mathematical biology
Speaker: Havva Yoldaş ( Delft Institute of Applied Mathematics, TU Delft)
Speaker |
Speaker: Havva Yoldaş ( Delft Institute of Applied Mathematics, TU Delft)
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When |
Oct 31, 2023
from 04:00 PM to 05:00 PM |
Where | Online via Zoom |
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Abstract: After a short introduction on kinetic equations and classical $L^2/H^1$ hypocoercivity techniques due to Dolbeault, Mouhot, Schmeiser AMS 2015, I will talk about Harris-type theorems that is an alternative method for obtaining quantitative convergence rates. I will discuss how to use these theorems summarising some recent results obtained jointly with Jo Evans (Warwick) on the run and tumble equations that is a kinetic-transport equation modelling the bacterial movement under the effect of a chemoattractant.