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Propagation of chaos and hydrodynamic description for topological models.

Authors :
Benedetto, Dario
Paul, Thierry
Rossi, Stefano
Source :
Kinetic & Related Models; Feb2025, Vol. 18 Issue 1, p1-16, 16p
Publication Year :
2025

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
EULER equations
EQUATIONS

Details

Language :
English
ISSN :
19375093
Volume :
18
Issue :
1
Database :
Complementary Index
Journal :
Kinetic & Related Models
Publication Type :
Academic Journal
Accession number :
181927819
Full Text :
https://doi.org/10.3934/krm.2024010