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Séminaire du LJLL - 13 05 2022 14h00 : E. Tadmor
Vendredi 13 mai 2022 — 14h00
Exposé donné en personne dans la salle du séminaire du Laboratoire Jacques-Louis Lions
avec diffusion simultanée par Zoom
Eitan Tadmor (Université du Maryland)
Emergent behavior in swarming dynamics
Résumé
In this talk I will survey recent mathematical developments in swarming dynamics of "active matter" - agents which actively probe the environment. A fascinating aspect is self-organization where small-scale interactions lead to the emergence of high-order patterns. In different contexts these take the form of flocks, swarms, consensus, ordered ratings, synchronized states, etc.
The dynamics is driven by different protocols of pairwise interactions. Collisions are avoided. A main question of interest is how different classes of interaction kernels affect the large-time, large-crowd dynamics. I will describe known results and open questions on long- and short-range interactions, and address two particular questions : (i) How alignment acts away thermal equilibrium ; and (ii) How (graph) connectivity dictates the emergent behavior of multi-species dynamics.