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A strong form of propagation of chaos for Cucker–Smale model.
- Source :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Aug2024, Vol. 75 Issue 4, p1-20, 20p
- Publication Year :
- 2024
-
Abstract
- In this paper, we investigate a strong form of propagation of chaos for Cucker–Smale model. We obtain an explicit bound on the relative entropy in terms of the number of particles between the joint law and the tensioned law of particles, which implies the mean field limit of the Cucker–Smale model and the propagation of chaos through the strong convergence of all marginals. Our method relies mainly on the new law of large numbers for Jabin and Wang (Invent Math 214:523–591, 2018) at the exponential scale. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 75
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 179054801
- Full Text :
- https://doi.org/10.1007/s00033-024-02291-y