143 citations · 356 across the 31 of their papers we have counts for
17 papers · 1 filter
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…
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.…
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…
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 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…
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…
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…
Navier-Stokes equations on the flat cylinder with vorticity production on the boundary
Carlo Boldrighini, Paolo Buttà
We study the two-dimensional Navier-Stokes system on a flat cylinder with the usual Dirichlet boundary conditions for the velocity field u. We formulate the problem as an infinite…
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…
Directed current in quasi-adiabatically ac-driven nonlinear systems
Paolo Buttà, Piero Negrini
We rigorously prove the existence of directed transport for a certain class of ac-driven nonlinear one dimensional systems, namely the generation of transport with a preferred dire…
Dobrushin states in the ϕ^4_1 model
L. Bertini, S. Brassesco, P. Buttà
We consider the van der Waals free energy functional in a bounded interval with inhomogeneous Dirichlet boundary conditions imposing the two stable phases at the endpoints. We comp…
Soft and hard wall in a stochastic reaction diffusion equation
L. Bertini, S. Brassesco, P. Buttà
We consider a stochastically perturbed reaction diffusion equation in a bounded interval, with boundary conditions imposing the two stable phases at the endpoints. We investigate t…
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…