A mean-field limit of the particle swarmalator model
2021
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.
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