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arXiv · 2308.00998

Propagation of chaos and hydrodynamic description for topological models

Dario Benedetto·Thierry Paul·Stefano Rossi
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Abstract

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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Dario Benedetto, Thierry Paul, Stefano Rossi. 2023-08-02. Propagation of chaos and hydrodynamic description for topological models. https://arxiv.org/abs/2308.00998

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