A new probabilistic interpretation of Keller-Segel model for chemotaxis, application to 1-d

Date/heure
11 mai 2017
10:45 - 11:45

Oratrice ou orateur
Milica Tomasevic

Catégorie d'évènement
Séminaire Probabilités et Statistique


Résumé

The Keller Segel (KS) model for chemotaxis is a two-dimensional system of parabolic or elliptic PDEs. Motivated by the study of the fully parabolic model using probabilistic methods, we give rise to a non linear SDE of McKean-Vlasov type with a highly non standard and singular interaction.
In this talk I will briefly introduce the KS model, point out some of the PDE analysis results on it and then, in detail, analyze our probabilistic interpretation in the case d=1.
This is a joint work with D. Talay.