31 citations · 83 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
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 annuli of radii of the order of and…
The gravitational Vlasov-Poisson system with infinite mass and velocities in
Guido Cavallaro, Carlo Marchioro
We study existence and uniqueness of the solution to the gravitational Vlasov-Poisson system evolving in . It is assumed that initially the particles are distributed…
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 small disjoint rings of…
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 disjoint rings. We show that…
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 smal…
A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror
Silvia Caprino, Guido Cavallaro, Carlo Marchioro
We study the time evolution of a single species positive plasma, confined in a cylinder and having infinite charge. We extend the result of a previous work by the same authors, for…