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

For the discrete Cucker-Smale's flocking model with a singular communication weight $ψ(s) = s^{-α}$, with $0<α<1/2$ , 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.

No reviews yet.

No comments yet.