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Pré-Publication, Document De Travail Année : 2023

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

Matthieu Ménard

Résumé

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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Dates et versions

hal-03630514 , version 1 (05-04-2022)
hal-03630514 , version 2 (06-07-2023)

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Matthieu Ménard. Mean-Field Limit Derivation of a Monokinetic Spray Model with Gyroscopic Effects.. 2022. ⟨hal-03630514v2⟩
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