2 citations · 4 across the 3 of their papers we have counts for
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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…