Propagation of chaos and hydrodynamic description for topological models
Analysis of PDEs
2024-10-25 v2
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.
Keywords
Cite
@article{arxiv.2308.00998,
title = {Propagation of chaos and hydrodynamic description for topological models},
author = {Dario Benedetto and Thierry Paul and Stefano Rossi},
journal= {arXiv preprint arXiv:2308.00998},
year = {2024}
}
Comments
17 pages; final version as accepted for publication