A Mean-field Limit of the Particle Swarmalator Model

Abstract

We present a mean-field limit of the particle swarmalator model introduced in [46] with singular communication weights. For a mean-field limit, we employ a probabilistic approach for the propagation of molecular chaos and suitable cut-offs in singular terms, which results in the validation of the mean- field limit. We also provide a local-in-time well-posedness of strong and weak solutions to the derived kinetic swarmalator equation.