368 citations · 558 across the 22 of their papers we have counts for
6 papers · 1 filter
Scattering problem for Vlasov-type equations on the -dimensional torus with Gevrey data
Dario Benedetto, Emanuele Caglioti, Antoine Gagnebin +2
In this article, we consider Vlasov-type equations describing the evolution of single-species type plasmas, such as those composed of electrons (Vlasov-Poisson) or ions (screened V…
Propagation of chaos and hydrodynamic description for topological models
Dario Benedetto, Thierry Paul, Stefano Rossi
In this work, we study the deterministic Cucker-Smale model with topological interaction. Focusing on the solutions of the corresponding Liouville equation, we show that propagatio…
Mean-field limit for particle systems with topological interactions
Dario Benedetto, Emanuele Caglioti, Stefano Rossi
The mean-field limit for systems of self-propelled agents with topological interaction cannot be obtained by means of the usual Dobrushin approach. We get a result on this directio…
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation
Dario Benedetto, Emanuele Caglioti, Stefano Rossi
We analyze the analytic Landau damping problem for the Vlasov-HMF equation, by fixing the asymptotic behavior of the solution. We use a new method for this "scattering problem", cl…
On the complete phase synchronization for the Kuramoto model in the mean-field limit
Dario Benedetto, Emanuele Caglioti, Umberto Montemagno
We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial da…
On The Weak-Coupling Limit for Bosons and Fermions
Dario Benedetto, François Castella, Raffaele Esposito +1
In this paper we consider a large system of Bosons or Fermions. We start with an initial datum which is compatible with the Bose-Einstein, respectively Fermi-Dirac, statistics. We…