Speaker
Description
Flocking is a form of collective behavior commonly observed in nature, particularly among birds and fish. We focus on the Motsch-Tadmor particle model
for birds flocking, which differs from the classical Cucker-Smale model due
to its use of a relative influence term which introduce an asymmetry in the
interactions. While mean field limit has been rigorously established for the
Cucker-Smale model, the corresponding result for the Motsch-Tadmor model
remains an open problem. We aim to derive the kinetic equation corresponding to the microscopic Motsch–Tadmor model and to provide a rigorous proof
of propagation of chaos. In this talk, I will provide an overview of the model
and problem, and present our strategy toward resolving this open question.
Affiliation
Ecole Nationale Supérieure d’Arts et Métiers & University of Graz