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

Resumen:

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 kernel.

 

In this talk I will briefly introduce the KS model, point out some of the PDE analysis results related to the model and then, in detail, analyze our probabilistic interpretation in the case d=1.

This is a joint work with Denis Talay (TOSCA team, INRIA Sophia-Antipolis Mediterranee).

Date: Jun 13, 2017 at 16:00 h
Venue: Beauchef 851, Sala de Seminarios John Von Neumann CMM, Séptimo Piso, Torre Norte.
Speaker: Milica TOMASEVIC
Affiliation: (TOSCA team, INRIA Sophia-Antipolis Mediterranee)
Coordinator: Prof. Daniel Remenik
Abstract:
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Posted on Jun 7, 2017 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars