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Cauchy theory for general Vicsek models in collective dynamics and mean-field limit approximations

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FKTW03 - Frontiers in kinetic equations for plasmas and collective behaviour

The Vicsek model is widely used to model collective motion. In this talk, I will present recent results on the well-posedness of the kinetic equation and the mean-field limit in the presence of a singularity in the dynamics. This singularity appears when the flux of the particles vanishes.This is joint work with Marc Briant (Paris Descartes) and Antoine Diez (Imperial College London).

This talk is part of the Isaac Newton Institute Seminar Series series.

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