On the uniform-in-time propagation of chaos for the Motsch-Tadmor model

Abstract

We consider the Motsch-Tadmor model, a modification of the Cucker-Smale model for flocking dynamics that incorporates asymmetric communication weights. In the case of uniformly positive interactions, we consider the validity problem for the limiting kinetic equation, proving a uniform-in-time propagation of chaos result in the moving frame given by the consensus velocities. The result is obtained by studying the reversibility of the communication weights and by implicitly characterizing the asymptotic consensus.