5 citations · 7 across the 7 of their papers we have counts for
7 papers
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…
Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks
Boris Andreianov, Carlotta Donadello, Ulrich Razafison +1
In this paper we investigate numerically the model for pedestrian traffic proposed in [B.Andreianov, C.Donadello, M.D.Rosini, Crowd dynamics and conservation laws with nonlocal con…
Riemann problems with non--local point constraints and capacity drop
Boris Andreianov, Carlotta Donadello, Ulrich Razafison +1
In the present note we discuss in details the Riemann problem for a one--dimensional hyperbolic conservation law subject to a point constraint. We investigate how the regularity of…
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…