Propagation of chaos and hydrodynamic description for topological models
Abstract
In this work we extend the analysis carried out in D. Benedetto, E. Caglioti, S. Rossi Mean-field limit for particle systems with topologicalinteractions Math. Mech. Complex Syst. 9 (2021) 423-440, proving propagation of chaos, i.e. convergence of the marginals, for the deterministic Cucker-Smale model with topological interaction. By looking at the monokinetic solutions, we also obtain a rigorous derivation of the hydrodynamic description given by the
corresponding Euler system.
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