Propagation of chaos and hydrodynamic description for topological models
arXiv:2308.00998
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.
17 pages; final version as accepted for publication