56 citations · 298 across the 34 of their papers we have counts for
37 papers
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…
Optimal Dirac controls for time-periodic bistable ODEs, application to population replacement
Grégoire Nadin, David Nahmani, Nicolas Vauchelet
This work addresses an optimal control problem on a dynamics governed by a nonlinear differential equation with a bistable time-periodic nonlinearity. This problem, relevant in pop…
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…
Generalized principal eigenvalues for parabolic operators in bounded domains
Henri Berestycki, Grégoire Nadin, Luca Rossi
We introduce here new generalized principal eigenvalues for linear parabolic operators with heterogeneous coefficients in space and time. We consider a bounded spatial domain and a…
Optimisation of space-time periodic eigenvalues
Beniamin Bogosel, Idriss Mazari-Fouquer, Grégoire Nadin
The goal of this paper is to provide a qualitative analysis of the optimisation of space-time periodic principal eigenvalues. Namely, considering a fixed time horizon and the $…
Asymptotic spreading of KPP reactive fronts in heterogeneous shifting environments II: Flux-limited solutions
King-Yeung Lam, Gregoire Nadin, Xiao Yu
We consider the spreading dynamics of the Fisher-KPP equation in a shifting environment, by analyzing the limit of the rate function of the solutions. For environments with a weak…