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Pré-Publication, Document De Travail Année : 2024

Propagation of chaos and hydrodynamic description for topological models

Résumé

In this work, we study the deterministic Cucker-Smale model with topological interaction. Focusing on the solutions of the corresponding Liouville equation, we show that propagation of chaos holds. Moreover, considering monokinetic solutions, we also obtain a rigorous derivation of the hydrodynamic description given by a pressureless Euler-type 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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Dario Benedetto, Thierry Paul, Stefano Rossi. Propagation of chaos and hydrodynamic description for topological models. 2024. ⟨hal-04102006v3⟩
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