143 citations · 356 across the 31 of their papers we have counts for
33 papers
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…
Cost Functions in Economic Complexity
Alessandro Bellina, Paolo Buttà, Vito D. P. Servedio
Economic complexity algorithms aim to uncover the hidden capabilities that drive economic systems. Here, we present a fundamental reinterpretation of two of these algorithms, the E…
Asymptotics of the measure in the sharp interface limit
Lorenzo Bertini, Paolo Buttà, Giacomo Di Gesù
We consider the measure in an interval of length , defined by a symmetric double-well potential and inverse temperature . Our results concern its asymptotic be…
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…
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…
From particle systems to the BGK equation
Paolo Buttà, Mario Pulvirenti, Sergio Simonella
In [Phys. Rev. 94 (1954), 511-525], P.L. Bhatnagar, E.P. Gross and M. Krook introduced a kinetic equation (the BGK equation), effective in physical situations where the Knudsen num…
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…
A stochastic particle system approximating the BGK equation
Paolo Buttà, Mario Pulvirenti
We consider a stochastic -particle system on a torus in which each particle moving freely can instantaneously thermalize according to the particle configuration at that instant.…
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…
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…
Stability of the stationary solutions of the Allen-Cahn equation with non-constant stiffness
Paolo Buttà, Emilio N. M. Cirillo, Giulio Sciarra
We study the solutions of a generalized Allen-Cahn equation deduced from a Landau energy functional, endowed with a non-constant higher order stiffness. We assume the stiffness to…
Particle approximation of the BGK equation
Paolo Buttà, Maxime Hauray, Mario Pulvirenti
In this paper we prove the convergence of a suitable particle system towards the BGK model. More precisely, we consider an interacting stochastic particle system in which each part…
Some aspects of the inertial spin model for flocks and related kinetic equations
Dario Benedetto, Paolo Buttà, Emanuele Caglioti
In this paper we study the macroscopic behavior of the inertial spin (IS) model. This model has been recently proposed to describe the collective dynamics of flocks of birds, and i…
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…
A new and stable estimation method of country economic fitness and product complexity
Vito D. P. Servedio, Paolo Buttà, Dario Mazzilli +2
We present a new metric estimating fitness of countries and complexity of products by exploiting a non-linear non-homogeneous map applied to the publicly available information on t…
A non-linear kinetic model of self-propelled particles with multiple equilibria
Paolo Buttà, Franco Flandoli, Michela Ottobre +1
We introduce and analyse a continuum model for an interacting particle system of Vicsek type. The model is given by a non-linear kinetic partial differential equation (PDE) describ…
On large deviations of interface motions for statistical mechanics models
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
We discuss the sharp interface limit of the action functional associated to either the Glauber dynamics for Ising systems with Kac potentials or the Glauber+Kawasaki process. The c…
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…
Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Consider the Allen-Cahn equation on the -dimensional torus, , in the sharp interface limit. As it is well known, the limiting dynamics is described by the motion by mean…
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…
Differential equations for real-structured (and unstructured) defectivity measures
Paolo Buttà, Nicola Guglielmi, Manuela Manetta +1
Let be either a complex or real matrix with all distinct eigenvalues. We propose a new method for the computation of both the unstructured and the real-structured (if the matri…
Drift of phase fluctuations in the ABC model
L. Bertini, P. Buttà
In a recent work, Bodineau and Derrida analyzed the phase fluctuations in the ABC model. In particular, they computed the asymptotic variance and, on the basis of numerical simulat…
Structured conditioning of Hamiltonian eigenvalue problems
Paolo Buttà, Silvia Noschese
We discuss the effect of structure-preserving perturbations on complex or real Hamiltonian eigenproblems and characterize the structured worst-case effect perturbations. We derive…
Boundary effects in the gradient theory of phase transitions
L. Bertini, P. Buttà, A. Garroni
We consider the van der Waals' free energy functional, with a scaling small parameter epsilon, in the plane domain given by the first quadrant, and inhomogeneous Dirichlet boundary…