31 citations · 188 across the 19 of their papers we have counts for
20 papers
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…
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 annuli of radii and thick…
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…
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…
Cucker-Smale type dynamics of infinitely many individuals with repulsive forces
Paolo Buttà, Carlo Marchioro
We study the existence and uniqueness of the time evolution of a system of infinitely many individuals, moving in a tunnel and subjected to a Cucker-Smale type alignment dynamics w…
Time evolution of a Vlasov-Poisson plasma with different species and infinite mass in
Silvia Caprino, Guido Cavallaro, Carlo Marchioro
We study existence and uniqueness of the solution to the Vlasov-Poisson system describing a plasma constituted by different species evolving in , whose particles inte…
Time evolution of concentrated vortex rings
Paolo Buttà, Carlo Marchioro
We study the time evolution of an incompressible fluid with axisymmetry without swirl when the vorticity is sharply concentrated. In particular, we consider disjoint vortex rin…
Efficacy of a magnetic shield against a Vlasov-Poisson plasma
Silvia Caprino, Guido Cavallaro, Carlo Marchioro
The aim of the paper is to test on a simple model how impenetrable may be a magnetic shield. We study the time evolution of a single species positive plasma, confined in the half-s…
On the magnetic shield for a Vlasov-Poisson plasma
Silvia Caprino, Guido Cavallaro, Carlo Marchioro
We study the screening of a bounded body against the effect of a wind of charged particles, by means of a shield produced by a magnetic field which becomes infinite on the bord…
Long time evolution of concentrated Euler flows with planar symmetry
Paolo Buttà, Carlo Marchioro
We study the time evolution of an incompressible Euler fluid with planar symmetry when the vorticity is initially concentrated in small disks. We discuss how long this concentratio…
The Vlasov-Poisson equation in with infinite charge and velocities
Silvia Caprino, Guido Cavallaro, Carlo Marchioro
We consider the Vlasov-Poisson equation in with initial data which are not in space and have unbounded support in the velocities. Assuming for the density a sl…
Dynamics of infinite classical anharmonic crystals
Paolo Buttà, Carlo Marchioro
We consider an unbounded lattice and at each point of this lattice an anharmonic oscillator, that interacts with its first neighborhoods via a pair potential and is subjected t…
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…
On the attractive plasma-charge system in 2-d
Silvia Caprino, Carlo Marchioro, Evelyne Miot +1
We study a positively charged Vlasov-Poisson plasma in which N negative point charges are immersed. The attractiveness of the system forces us to consider a possibly unbounded plas…
The Cauchy problem for the 3-D Vlasov-Poisson system with point charges
Carlo Marchioro, Evelyne Miot, Mario Pulvirenti
In this paper we establish global existence and uniqueness of the solution to the three-dimensional Vlasov-Poisson system in presence of point charges in case of repulsive interact…
Speedy motions of a body immersed in an infinitely extended medium
P. Buttà, G. Ferrari, C. Marchioro
We study the motion of a classical point body of mass M, moving under the action of a constant force of intensity E and immersed in a Vlasov fluid of free particles, interacting wi…
On the propagation of a perturbation in an anharmonic system
P. Buttà, E. Caglioti, S. Di Ruzza +1
We give a not trivial upper bound on the velocity of disturbances in an infinitely extended anharmonic system at thermal equilibrium. The proof is achieved by combining a control o…