310 citations
- École Polytechnique Fédérale de LausanneCH87 papers
- Institut Denis PoissonFR42 papers
- Université de ToursFR37 papers
- Université d'OrléansFR37 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Brno University of TechnologyCZ7 papers
- CERMICSFR7 papers
- University of ManchesterGB7 papers
- Italian Institute of TechnologyIT6 papers
- Queen Mary University of LondonGB6 papers
- University of BernCH6 papers
- Institute for Scientific and Technological ResearchMX5 papers
19 papers · 1 filter
Uniqueness and non-uniquess for the mean field control of fisheries
Greta Lamonaca, Idriss Mazari, Grégoire Nadin
We study a Mean Field Control system arising in the management of fisheries with a special emphasis on non-uniqueness issues. Namely, we focus on a situation where a group of playe…
Degenerate Elliptic PDEs on a Network with Kirchhoff Conditions
Guy Barles, Olivier Ley, Erwin Topp
In this article, we are interested in semilinear, possibly degenerate elliptic equations posed on a general network, with nonlinear Kirchhoff-type conditions for its interior verti…
Planar pulsating traveling wave solutions of non-cooperative Fisher--KPP systems in space-time periodic media
Léo Girardin, Grégoire Nadin
Non-cooperative Fisher-KPP systems with space-time periodic coefficients are motivated for instance by models for structured populations evolving in periodic environments. This pap…
Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions
Guy Barles, Olivier Ley, Erwin Topp
In this article, we consider nonlocal Hamilton-Jacobi Equations on networks with Kirchhoff type conditions for the interior vertices and Dirichlet boundary conditions for the bound…
Some Comparison Results for First-Order Hamilton-Jacobi Equations and Second-Order Fully Nonlinear Parabolic Equations with Ventcell Boundary Conditions
Guy Barles, Emmanuel Chasseigne
In this article, we consider fully nonlinear, possibly degenerate, parabolic equations associated with Ventcell boundary conditions in bounded or unbounded, smooth domains. We firs…
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…