143 citations · 356 across the 31 of their papers we have counts for
3 papers · 1 filter
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…