Sharp conditions to avoid collisions in singular Cucker-Smale interactions

Jose A. Carrillo, Young-Pil Choi, Piotr B. Mucha +1

We consider the Cucker-Smale flocking model with a singular communication weight $\psi (s)=s^{-\alpha }$ with $\alpha >0$. We provide a critical value of the exponent $\alpha$ in the communication w…