5 citations · 7 across the 3 of their papers we have counts for
5 papers · 1 filter
Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions
Carlotta Donadello, Vincent Perrollaz
We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and u…
An existence result for a constrained two-phase transition model with metastable phase for vehicular traffic
Mohamed Benyahia, Carlotta Donadello, Nikodem Dymski +1
In this paper we study a phase transition model for vehicular traffic flows. Two phases are taken into account, according to whether the traffic is light or heavy. We assume that t…
Well-posedness for a monotone solver for traffic junctions
Boris P. Andreianov, Giuseppe Maria Coclite, Carlotta Donadello
In this paper we aim at proving well-posedness of solutions obtained as vanishing viscosity limits for the Cauchy problem on a traffic junction where incoming and outgoing…
Crowd dynamics and conservation laws with non-local constraints
Boris Andreianov, Carlotta Donadello, Massimiliano D. Rosini
In this paper we model pedestrian flows evacuating a narrow corridor through an exit by a one-dimensional hyperbolic conservation law with a non-local constraint. Existence and sta…
Initial-boundary value problems for continuity equations with BV coefficients
Gianluca Crippa, Carlotta Donadello, Laura V. Spinolo
We establish well-posedness of initial-boundary value problems for continuity equations with BV (bounded total variation) coefficients. We do not prescribe any condition on the ori…