18 citations · 45 across the 8 of their papers we have counts for
4 papers · 1 filter
Burst of Point Vortices and Non-Uniqueness of 2D Euler Equations
Francesco Grotto, Umberto Pappalettera
We give a rigorous construction of solutions to the Euler point vortices system in which three vortices burst out of a single one in a configuration of many vortices, or equivalent…
Gaussian invariant measures and stationary solutions of 2D Primitive Equations
Francesco Grotto, Umberto Pappalettera
We introduce a Gaussian measure formally preserved by the 2-dimensional Primitive Equations driven by additive Gaussian noise. Under such measure the stochastic equations under con…
Equilibrium Statistical Mechanics of Barotropic Quasi-Geostrophic Equations
Francesco Grotto, Umberto Pappalettera
We consider equations describing a barotropic inviscid flow in a channel with topography effects and beta-plane approximation of Coriolis force, in which a large-scale mean flow in…
Decay of Correlation Rate in the Mean Field Limit of Point Vortices Ensembles
Francesco Grotto, Marco Romito
We consider the Mean Field limit of Gibbsian ensembles of 2-dimensional point vortices on the torus. It is a classical result that in such limit correlations functions converge to…