About kinetic theory for the study of self-organization in the biological science

Francis Filbet (U Paul Sabatier, Toulouse)

Nov 14. 2022, 09:30 — 10:30

In this course, we will first review some general stochastic systems of interacting particles with noise which are relevant as models for the collective behavior of animals. The first  issue is to discuss how the mean-field limit the system is close to the solution of a kinetic partial differential equation. This study will include models widely studied in the literature such as the Cucker-Smale model, adding noise to the behavior of individuals. The difficulty, as compared to the classical case of globally Lipschitz potentials, is that in several models the interaction potential between particles is only locally Lipschitz, the local Lipschitz constant growing to infinity with the size of the region considered. In a second part, we will discuss the link with macroscopic models used in the literature and for numerical simulations of interacting particles.


Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Mathematical Methods for the Study of Self-organization in the Biological Sciences (Thematic Programme)
Pierre Degond (IMT)
Marie Doumic (Sorbonne U, Paris)
Anna Kicheva (ISTA, Klosterneuburg)
Sara Merino-Aceituno (U of Vienna)
Christian Schmeiser (U of Vienna)