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math.AP2021
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…
math.AP2021
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…