42 citations
- Institut National des Sciences Appliquées Rouen NormandieFR54 papers
- Université de Rouen NormandieFR22 papers
- Laboratoire de Mathématiques Blaise PascalFR20 papers
- Ludlum Measurements (United States)US13 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Centre de Recherche en Mathématiques de la DécisionFR7 papers
- CERMICSFR5 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR5 papers
- Département de mathématiques et applicationsFR4 papers
- École Normale Supérieure - PSLFR4 papers
- Institut NéelFR4 papers
- Laboratoire de Physique Théorique et Hautes EnergiesFR4 papers
11 papers · 1 filter
Limits of non-local approximations to the Eikonal equation on manifolds
Jalal M. Fadili, Nicolas Forcadel, Rita Zantout
In this paper, we consider a non-local approximation of the time-dependent Eikonal equation defined on a Riemannian manifold. We show that the local and the non-local problems are…
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…
Stochastic porous media equation with Robin boundary conditions, gravity-driven infiltration and multiplicative noise
Ioana Ciotir, Dan Goreac, Juan Li +1
We aim at studying a novel mathematical model associated to a physical phenomenon of infiltration in an homogeneous porous medium. The particularities of our system are connected t…
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…
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…
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…