30 citations · 109 across the 24 of their papers we have counts for
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The Mean-Field limit for hybrid models of collective motions with chemotaxis
Roberto Natalini, Thierry Paul
In this paper we study a general class of hybrid mathematical models of collective motions of cells under the influence of chemical stimuli. The models are hybrid in the sense that…
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…
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…
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…
Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta-Kawashima condition
Roberta Bianchini, Roberto Natalini
In the context of hyperbolic systems of balance laws, the Shizuta-Kawashima coupling condition guarantees that all the variables of the system are dissipative even though the syste…
A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results
Elena Bonetti, Cecilia Cavaterra, Francesco Freddi +2
We consider an evolution system describing the phenomenon of marble sulphation of a monument, accounting of the surface rugosity. We first prove a local in time well posedness resu…