1 citations · 1 across the 10 of their papers we have counts for
12 papers
Sharp stability for the Talenti inequality
Paolo Acampora, Jimmy Lamboley, Idriss Mazari-Fouquer
We prove a sharp quantitative version of the Talenti rearrangement inequality. Specifically, we show that, for any , for any $f\in L^\infty(Ω),\, f\geq 0,\, f\not…
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…
Is the Faber-Krahn inequality true for the Stokes operator?
Antoine Henrot, Idriss Mazari-Fouquer, Yannick Privat
The goal of this paper is to investigate the minimisation of the first eigenvalue of the (vectorial) incompressible Dirichlet-Stokes operator. After providing an existence result,…
Stability of optimal shapes and convergence of thresholding algorithms in linear and spectral optimal control problems
Antonin Chambolle, Idriss Mazari-Fouquer, Yannick Privat
We prove the convergence of the fixed-point (also called thresholding) algorithm in three optimal control problems under large volume constraints. This algorithm was introduced by…
The tragedy of the commons: A Mean-Field Game approach to the reversal of travelling waves
Ziad Kobeissi, Idriss Mazari-Fouquer, Domenec Ruiz-Balet
The goal of this paper is to investigate an instance of the tragedy of the commons in spatially distributed harvesting games. The model we choose is that of a fishes' population th…
The topological state derivative: an optimal control perspective on topology optimisation
Phillip Baumann, Idriss Mazari-Fouquer, Kevin Sturm
In this paper we introduce the topological state derivative for general topological dilatations and explore its relation to standard optimal control theory. We show that for a clas…
Localising optimality conditions for the linear optimal control of semilinear equations \emph{via} concentration results for oscillating solutions of linear parabolic equations
Idriss Mazari-Fouquer, Grégoire Nadin
We propose a fine analysis of second order optimality conditions for the optimal control of semi-linear parabolic equations with respect to the initial condition. More precisely, w…