Franco Flandoli

We revise some known results about point vortices under a new perspective and also for modified models (with respect to the classical 2D Euler equations), like the so-called Hasegawa-Mima equa- tion. One of the links is the approximation of point vortices by smooth solutions; the main one we investigate is the approximation of solutions by point vortices, in the framework of McKean-Vlasov equations. We give a new proof of the second approximation result, based on the first one of the approximations mentioned above and a weak-strong uniqueness property. We also discuss a number of open questions. The activities mentioned herein are performed in the framework of the project NoisyFluid (GA 101053472).

Point vortices and their links to PDEs

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