Quebec Mathematical Sciences Colloquium

April 28, 2023 from 15:30 to 16:30 (Montreal/EST time) On location

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

Colloquium presented by José A. Carrillo (University of 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.

Address

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

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