30 citations · 52 across the 4 of their papers we have counts for
7 papers
A relaxation scheme for the equations of isentropic gas dynamics on a network with jump transmission conditions
Magali Ribot, Roberto Natalini, Maya Briani
In this paper we propose a new numerical scheme of relaxation type to approximate the Euler equations of isentropic gas dynamics on the arcs of a network. At the junction mass cons…
Angle dependence in coupling conditions for shallow water equations at canal junctions
Maya Briani, Gabriella Puppo, Magali Ribot
In this paper we propose a numerical Riemann problem solver at the junction of one dimensional shallow-water canal networks. The junction conditions take into account the angles wi…
Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams
Florent Berthelin, Thierry Goudon, Bastien Polizzi +1
We discuss numerical strategies to deal with PDE systems describing traffic flows, taking into account a density threshold, which restricts the vehicles density in the situation of…
A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity
Fabrizio Clarelli, Cristiana Di Russo, Roberto Natalini +1
In this article, we study in details the fluid dynamics system proposed in Clarelli et al (2013) to model the formation of cyanobacteria biofilms. After analyzing the linear stabil…
A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis
Monika Twarogowska, Roberto Natalini, Magali Ribot
We consider two models which were both designed to describe the movement of eukaryotic cells responding to chemical signals. Besides a common standard parabolic equation for the di…
A well-balanced numerical scheme for a one dimensional quasilinear hyperbolic model of chemotaxis
Roberto Natalini, Magali Ribot, Monika Twarogowska
We introduce a numerical scheme to approximate a quasi-linear hyperbolic system which models the movement of cells under the influence of chemotaxis. Since we expect to find soluti…
A hyperbolic model of chemotaxis on a network: a numerical study
Gabriella Bretti, Roberto Natalini, Magali Ribot
In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is…