30 citations · 109 across the 24 of their papers we have counts for
30 papers
Microscopic, kinetic and hydrodynamic hybrid models of collective motions withchemotaxis: a numerical study
Marta Menci, Roberto Natalini, Thierry Paul
A general class of hybrid models has been introduced recently, gathering the advantages multiscale descriptions. Concerning biological applications, the particular coupled structur…
Parameter estimation tools for cardiovascular flow modeling of fetal circulation
Gabriella Bretti, Roberto Natalini, Annalisa Pascarella +3
Usually, clinicians assess the correct hemodynamic behavior and fetal well-being during the gestational age thanks to their professional expertise, with the support of some indices…
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…