Collective Dynamics in Biological and Social Systems

Stability of infinite time aggregation for the critical Patlak-Keller-Segel model in 2 dimension

Nader Masmoudi

New York University

The Patlak-Keller-Segel (PKS) model describes the collective motion of cells which are attracted by a self-emitted chemical substance. This model describes the aggregation for a certain types of microorganisms. In this talk we will discuss the infinite time aggregation for the PKS in the case of a critical mass. This is a joint work with Tej-eddine Ghoul (NYUAD).