We give an overview of mathematical traffic flow models with non-local velocity. More precisely, we consider conservation laws with flux functions depending on an integral evaluation of the density of vehicles through a convolution product. We summarize the analytical results recently obtained for this kind of models and we provide some numerical simulations illustrating the behavior of different groups of drivers or vehicles
We present a model for a class of non-local conservation laws arising in traffic flow modelling at r...
International audienceWe prove existence and uniqueness of solutions to a transport equation modelli...
We present a model for a class of non-local conservation laws arising in traffic flow modelling at r...
We give an overview of mathematical traffic flow models with non-local velocity. More precisely, we ...
In this thesis, we present so–called nonlocal traffic flow models which possess more information abo...
In this thesis, we provide mathematical traffic flow models with non-local fluxes and adapted numeri...
Le but principal de cette thèse est de fournir des modèles mathématiques de trafic routier avec flux...
We present a multilane traffic model based on balance laws, where the nonlocal source term is used t...
We prove the well-posedness of entropy weak solutions for a class of 1D space-discontinuous scalar c...
We study a class of nonlinear nonlocal conservation laws with discontinuous flux, modeling crowd dyn...
We study a class of nonlinear nonlocal conservation laws with discontinuous flux, modeling crowd dyn...
We present a network formulation for a traffic flow model with nonlocal velocity in the flux functio...
International audienceThis paper focuses on the numerical approximation of the solutions of a class ...
We present a model for a class of non-local conservation laws arising in traffic flow modeling at ro...
We present a model for a class of non-local conservation laws arising in traffic flow modeling at ro...
We present a model for a class of non-local conservation laws arising in traffic flow modelling at r...
International audienceWe prove existence and uniqueness of solutions to a transport equation modelli...
We present a model for a class of non-local conservation laws arising in traffic flow modelling at r...
We give an overview of mathematical traffic flow models with non-local velocity. More precisely, we ...
In this thesis, we present so–called nonlocal traffic flow models which possess more information abo...
In this thesis, we provide mathematical traffic flow models with non-local fluxes and adapted numeri...
Le but principal de cette thèse est de fournir des modèles mathématiques de trafic routier avec flux...
We present a multilane traffic model based on balance laws, where the nonlocal source term is used t...
We prove the well-posedness of entropy weak solutions for a class of 1D space-discontinuous scalar c...
We study a class of nonlinear nonlocal conservation laws with discontinuous flux, modeling crowd dyn...
We study a class of nonlinear nonlocal conservation laws with discontinuous flux, modeling crowd dyn...
We present a network formulation for a traffic flow model with nonlocal velocity in the flux functio...
International audienceThis paper focuses on the numerical approximation of the solutions of a class ...
We present a model for a class of non-local conservation laws arising in traffic flow modeling at ro...
We present a model for a class of non-local conservation laws arising in traffic flow modeling at ro...
We present a model for a class of non-local conservation laws arising in traffic flow modelling at r...
International audienceWe prove existence and uniqueness of solutions to a transport equation modelli...
We present a model for a class of non-local conservation laws arising in traffic flow modelling at r...