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TITLE A MEAN-FIELD LIMIT OF THE PARTICLE SWARMALATOR MODEL
KIAS AUTHORS Ha, Seung-Yeal
JOURNAL KINETIC AND RELATED MODELS, 2021
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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 meanfield 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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