18 citations · 26 across the 5 of their papers we have counts for
5 papers
Spectral instability and non-uniqueness for the Keller-Segel system
Eliseo Luongo, Umberto Pappalettera
We show that the Cauchy problem associated with the parabolic-elliptic Keller-Segel model is locally ill-posed in for dimensions and throu…
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…
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…