1 citations · 1 across the 10 of their papers we have counts for
11 papers
Shape optimisation of the first solenoidal Maxwell eigenvalue
Antoine Henrot, Idriss Mazari-Fouquer, Yannick Privat +1
We study the minimisation of the first solenoidal Maxwell eigenvalue in perfectly conducting cavities through the scale-invariant functional $J_{\mathrm{Per…
Unstable free boundary problems in optimal control theory: existence and regularity
Lorenzo Ferreri, Idriss Mazari-Fouquer, Raphaël Prunier
We establish the first general regularity result for constrained optimal control problems arising naturally in mathematical physics and mathematical biology. Namely, we prove that…
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 $…
Another look at qualitative properties of eigenvalues using effective Hamiltonians
Idriss Mazari-Fouquer
The goal of this paper is to review several qualitative properties of well-known eigenvalue problems using a different perspective based on the theory of effective Hamiltonians, wo…
Mean-field games for harvesting problems: Uniqueness, long-time behaviour and weak KAM theory
Ziad Kobeissi, Idriss Mazari-Fouquer, Domènec Ruiz-Balet
The goal of this paper is to study a Mean Field Game (MFG) system stemming from the harvesting of resources. Modelling the latter through a reaction-diffusion equation and the harv…
Large-time optimal observation domain for linear parabolic systems
Idriss Mazari-Fouquer, Yannick Privat, Emmanuel Trélat
Given a well-posed linear evolution system settled on a domain of , an observation subset and a time horizon , the observability constant is define…