On The Mean Field limit for Cucker-Smale models

Roberto 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 note, we consider the Cucker-Smale dynamical system and we derive rigorously, using the Wasserstein distance, the Vlasov-type equation introduced in [9] in the mean-field limit without using empirical measures.

Domaines: Mathématiques [math]; Physique [physics]; Sciences de l'Homme et Société; Equations aux dérivées partielles [math.AP]; Sciences du Vivant [q-bio]

Roberto Natalini, Thierry Paul. On The Mean Field limit for Cucker-Smale models. 2020. ⟨hal-02008699v4⟩