Workshop - Problèmes mathématiques et modélisation en théorie cinétique

Sébastien Motsch

Kinetic theory for self-organized dynamics

In a human crowd or in a shoal of fish, thousands of individuals interact and form large scale structures. Although the interaction among individuals might be simple, the resulting dynamics is quite complex. Modeling is an essential tool to understand such dynamics. For instance, Agent-based models, also referred to as microscopic models, are widely developed to analyze various dynamics such as swarming and opinion formations.

In this talk, we investigate the emergence of macroscopic behavior

for such models. The challenge is to link "microscopic models" describing each agent with "macroscopic models" describing the evolution of a fluid. To achieve this transition, we present a novel approach based on kinetic theory and asymptotic analysis. Numerical simulations are presented to illustrate the results.

Partenaires

Irmar LMJL ENS Rennes LMBA LAREMA

Tutelles

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL