4 citations · 8 across the 4 of their papers we have counts for
5 papers · 1 filter
Germs for scalar conservation laws: the Hamilton-Jacobi equation point of view
Nicolas Forcadel, Cyril Imbert, Regis Monneau
We prove that the entropy solution to a scalar conservation law posed on the real line with a flux that is discontinuous at one point (in the space variable) coincides with the der…
The twin blow-up method for Hamilton-Jacobi equations in higher dimension
Nicolas Forcadel, Cyril Imbert, Regis Monneau
In this paper, we show how to extend the twin blow-up method recently developped by the authors (Comptes Rendus. Math., 2024), in order to obtain a new comparison principle for an…
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…
Steady state and long time convergence of spirals moving by forced mean curvature motion
Nicolas Forcadel, Cyril Imbert, Régis Monneau
In this paper, we prove the existence and uniqueness of a "steady" spiral moving with forced mean curvature motion. This spiral has a stationary shape and rotates with constant ang…