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Pré-Publication, Document De Travail Année : 2023

Propagation of chaos and hydrodynamic description for topological models

Résumé

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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Dates et versions

hal-04102006 , version 1 (22-05-2023)
hal-04102006 , version 2 (01-08-2023)
hal-04102006 , version 3 (13-01-2024)

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  • HAL Id : hal-04102006 , version 1

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Dario Benedetto, Thierry Paul, Stefano Rossi. Propagation of chaos and hydrodynamic description for topological models. 2023. ⟨hal-04102006v1⟩
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