MEAN FIELD LIMIT FOR CUCKER-SMALE MODELS

Abstract : 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.
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Submitted on : Tuesday, February 5, 2019 - 7:11:01 PM
Last modification on : Wednesday, March 27, 2019 - 4:10:22 PM
Long-term archiving on : Monday, May 6, 2019 - 4:59:28 PM

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R. Natalini, Thierry Paul. MEAN FIELD LIMIT FOR CUCKER-SMALE MODELS. 2019. ⟨hal-02008699⟩

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