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arXiv · 2204.02145

Mean-Field Limit Derivation of a Monokinetic Spray Model with Gyroscopic Effects

Matthieu Ménard
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Abstract

In this paper we derive a two dimensional spray model with gyroscopic effects as the mean-field limit of a system modeling the interaction between an incompressible fluid and a finite number of solid particles. This spray model has been studied by Moussa and Sueur (Asymptotic Anal., 2013), in particular the mean-field limit was established in the case of $W^{1,\infty}$ interactions. First we prove the local in time existence and uniqueness of strong solutions of a monokinetic version of the model with a fixed point method. Then we adapt the proof of Duerinckx and Serfaty (Duke Math. J., 2020) to establish the mean-field limit to the spray model in the monokinetic regime in the case of Coulomb interactions.

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Matthieu Ménard. 2022-04-05. Mean-Field Limit Derivation of a Monokinetic Spray Model with Gyroscopic Effects. https://arxiv.org/abs/2204.02145

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