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Renormalized Onsager functions and merging of vortex clusters
Stochastics and Dynamics  (IF0.98),  Pub Date : 2020-08-28, DOI: 10.1142/s0219493720400109
Franco Flandoli

This paper is devoted to an heuristic discussion of the merging mechanism between two clusters of point vortices, supported by some numerical simulations. A concept of renormalized Onsager function is introduced, elaboration of the solutions of the mean field equation. It is used to understand the shape of the single cluster observed as a result of the merging process. Potential implications for the inverse cascade 2D turbulence are discussed.