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Propagation of chaos and hydrodynamic description for topological models.
- 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 :
- EULER equations
EQUATIONS
Subjects
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