18 citations · 45 across the 8 of their papers we have counts for
9 papers
Collapse and Burst of generalized Surface Quasi-Geostrophic point Vortices
Francesco Grotto, Umberto Pappalettera
We consider the generalized Surface Quasi-Geostrophic point vortices dynamics, and identify a sufficient condition implying existence of bursts out of (and collapses into) any give…
Decay of Time Correlations in Point Vortex Systems
Francesco Grotto, Silvia Morlacchi
The dynamics of a large point vortex system whose initial configuration consists in uniformly distributed independent positions is investigated. Time correlations of local observab…
Gibbs Equilibrium Fluctuations of Point Vortex Dynamics
Francesco Grotto, Eliseo Luongo, Marco Romito
We consider a system of N point vortices in a bounded domain with null total circulation, whose statistics are given by the Canonical Gibbs Ensemble at inverse temperature $β\geq 0…
Zero-Noise Selection for Point Vortex Dynamics after Collapse
Francesco Grotto, Marco Romito, Milo Viviani
The continuation of point vortex dynamics after a vortex collapse is investigated by means of a regularization procedure consisting in introducing a small stochastic diffusive term…
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…
A Central Limit Theorem for Gibbsian Invariant Measures of 2D Euler Equations
Francesco Grotto, Marco Romito
We consider Canonical Gibbsian ensembles of Euler point vortices on the 2-dimensional torus or in a bounded domain of R 2 . We prove that under the Central Limit scaling of vortice…