Decay of time correlations in point vortex systems

F Grotto, S Morlacchi - Physica D: Nonlinear Phenomena, 2024 - Elsevier
The dynamics of a large point vortex system whose initial configuration consists in uniformly
distributed independent positions is investigated. Time correlations of local observables of …

Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems

F Grotto, E Luongo, M Maurelli - Nonlinearity, 2023 - iopscience.iop.org
We consider a stochastic interacting particle system in a bounded domain with reflecting
boundary, including creation of new particles on the boundary prescribed by a given source …

Random splitting of point vortex flows

A Agazzi, F Grotto, JC Mattingly - Electronic Communications in …, 2024 - projecteuclid.org
We consider a stochastic version of the point vortex system, in which the fluid velocity
advects single vortices intermittently for small random times. Such system converges to the …