A MEAN-FIELD LIMIT OF THE PARTICLE SWARMALATOR MODEL

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 meanfield limit. We also provide a local-in-time well-posedness of strong and weak solutions to the derived kinetic swarmalator equation.

Automated summary

In this study, we present a mean-field limit of the particle swarmalator model with singular communication weights introduced in a previous work. By employing a probabilistic approach for molecular chaos propagation and suitable cut-offs in singular terms, we validate the mean-field limit. Additionally, we establish local-in-time well-posedness of strong and weak solutions to the kinetic swarmalator equation derived from the model.