Guido Cavallaro

activity

20162026

most citedTime evolution of a Vlasov-Poisson plasma with different species and infinite mass in

R^{3}

31 citations · 83 across the 12 of their papers we have counts for

collaborators

13 papers

math.AP2026

Vorticity confinement for 2D incompressible flows in an infinite cylinder

Paolo Buttà, Guido Cavallaro

We study the confinement of vorticity for two-dimensional incompressible flows in an infinite cylinder. For Navier-Stokes solutions with non-negative and compactly supported initia…

math.AP2024★ 1 cited

Long time evolution of concentrated vortex rings with large radius

Paolo Buttà, Guido Cavallaro, Carlo Marchioro

We study the time evolution of an incompressible fluid with axial symmetry without swirl when the vorticity is sharply concentrated on $N$ annuli of radii of the order of $r_{0}$ and…

math.AP2024

The gravitational Vlasov-Poisson system with infinite mass and velocities in $R^{3}$

Guido Cavallaro, Carlo Marchioro

We study existence and uniqueness of the solution to the gravitational Vlasov-Poisson system evolving in $R^{3}$ . It is assumed that initially the particles are distributed…

math.AP2023

Leapfrogging vortex rings as scaling limit of Euler Equations

Paolo Buttà, Guido Cavallaro, Carlo Marchioro

We consider an incompressible fluid with axial symmetry without swirl, assuming initial data such that the initial vorticity is very concentrated inside $N$ small disjoint rings of…

math.AP2022★ 6 cited

Vanishing viscosity limit for concentrated vortex rings

Paolo Buttà, Guido Cavallaro, Carlo Marchioro

We study the time evolution of a viscous incompressible fluid with axial symmetry without swirl, when the initial vorticity is very concentrated in $N$ disjoint rings. We show that…

math-ph2021★ 4 cited

Time evolution of vortex rings with large radius and very concentrated vorticity

Guido Cavallaro, Carlo Marchioro

We study the time evolution of an incompressible fluid with axial symmetry without swirl when the vorticity is sharply concentrated on $N$ annuli of radii $\approx$ $r_{0}$ and thick…

math.AP2021★ 8 cited

Global time evolution of concentrated vortex rings

Paolo Buttà, Guido Cavallaro, Carlo Marchioro

We study the time evolution of an incompressible fluid with axial symmetry without swirl, assuming initial data such that the initial vorticity is very concentrated inside $N$ smal…

math-ph2020★ 4 cited

Long time localization of modified surface quasi-geostrophic equations

Guido Cavallaro, Roberto Garra, Carlo Marchioro

We discuss the time evolution of a two-dimensional active scalar flow, which extends some properties valid for a two-dimensional incompressible nonviscous fluid. In particular we s…

math-ph2019★ 31 cited