6 citations · 21 across the 17 of their papers we have counts for
4 papers · 1 filter
A class of germs arising from homogenization in traffic flow on junctions
Pierre Cardaliaguet, Nicolas Forcadel, Regis Monneau
We consider traffic flows described by conservation laws. We study a 2:1 junction (with two incoming roads and one outgoing road) or a 1:2 junction (with one incoming road and two…
Conservation law and Hamilton-Jacobi equations on a junction: the convex case
Pierre Cardaliaguet, Nicolas Forcadel, Theo Girard +1
The goal of this paper is to study the link between the solution to an Hamilton-Jacobi (HJ) equation and the solution to a Scalar Conservation Law (SCL) on a special network. When…
Coercive Hamilton-Jacobi equations in domains: the twin blow-ups method
Nicolas Forcadel, Cyril Imbert, Regis Monneau
In this note, we consider an evolution coercive Hamilton-Jacobi equation posed in a domain and supplemented with a boundary condition. We are interested in proving a comparison pri…
Non-convex coercive Hamilton-Jacobi equations: Guerand's relaxation revisited
Nicolas Forcadel, Cyril Imbert, Regis Monneau
This work is concerned with Hamilton-Jacobi equations of evolution type posed in domains and supplemented with boundary conditions. Hamiltonians are coercive but are neither convex…