Discrete Cucker-Smale's flocking model with a weakly singular weight

Abstract

For the discrete Cucker-Smale's flocking model with a singular communication weight $\psi (s)=s^{-\alpha }$, with $0<\alpha <1/2$ , we prove that the velocity component of certain type of weak solutions is absolutly continuous. This result enables us to obtain existence and uniqeness of global solutions.

References in corpus (2)

• Novel type of phase transition in a system of self-driven particles
• Local well-posedness of the generalized Cucker-Smale model