Cucker-Smale type dynamics of infinitely many individuals with repulsive forces

13 Mar 2020 · Buttà Paolo, Marchioro Carlo ·

We study the existence and uniqueness of the time evolution of a system of infinitely many individuals, moving in a tunnel and subjected to a Cucker-Smale type alignment dynamics with compactly supported communication kernels and to short-range repulsive interactions to avoid collisions.