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math.AP2020
On The Mean Field limit for Cucker-Smale models
Roberto Natalini, Thierry Paul
In this note, we consider generalizations of the Cucker-Smale dynamical system and we derive rigorously in Wasserstein's type topologies the mean-field limit (and propagation of ch…
math.AP2020
Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation
Roberta Bianchini, Roberto Natalini
This article is concerned with the asymptotic behavior of the two-dimensional inviscid Boussinesq equations with a damping term in the velocity equation. Precisely, we provide the…
math.AP2020
Vanishing viscosity approximation for linear transport equations on finite starshaped networks
Francesca R. Guarguaglini, Roberto Natalini
In this paper we study linear parabolic equations on a finite oriented starshaped network; the equations are coupled by transmission conditions set at the inner node, which do not…