8 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…
Gaussian estimates for general parabolic operators in dimension 1
Grégoire Nadin
We derive in this paper Gaussian estimates for a general parabolic equation over . Here and are only assumed to be bounded,…
Optimization of the L1 norm of the solution of a Fisher-KPP equations in the small diffusivity regime
Grégoire Nadin
We investigate in the present paper the maximization problem for the L1 norm of the unique positive solution of an heterogeneous Fisher-KPP equation with respect to the growth rate…
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…
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…
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…