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

Understand

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.