Colloque des sciences mathématiques du Québec

28 avril 2023 de 15 h 30 à 16 h 30 (heure de Montréal/HNE) Sur place

Aggregation-Diffusion and Kinetic PDEs for collective behavior: applications in the sciences

Colloque par José A. Carrillo (Université de Oxford)

I will present a survey of micro, meso and macroscopic models where repulsion and attraction effects are included through pairwise potentials. I will discuss their interesting mathematical features and applications in mathematical biology and engineering.  Qualitative properties of local minimizers of the interaction energies are crucial in order to understand these complex behaviors. I will showcase the breadth of possible applications with three different phenomena in applications: segregation, phase transitions and consensus.


Centre de recherches mathématiques Pavillon André-Aisenstadt, Université de Montréal salle 5340