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.

中文翻译：

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粒子漫游器模型的平均场限制

我们提出了[46]（具有单个通信权重）。对于平均场极限，我们采用概率方法以单数形式传播分子混沌和合适的截止值，从而验证了平均场极限。我们还为派生的动力学Swarmalator方程提供了强和弱解的局部时间适时性。