On The Mean Field limit for Cucker-Smale models

R. Natalini (1) , Thierry Paul (2)

1 Consiglio Nazionale delle Ricerche c/o Department of Mathematics
2 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions

In this very short note, we consider the Cucker-Smale dynamical system and we derive rigorously the Vlasov-type equation introduced in [4] in the mean-field limit. The vector field we consider is bounded at infinity in the velocity variables, and Lipschitz continuous in the space variables.

Domaines: Mathématiques [math]; Physique [physics]; Sciences de l'Homme et Société

R. Natalini, Thierry Paul. On The Mean Field limit for Cucker-Smale models. 2020. ⟨hal-02008699v3⟩