48 citations · 174 across the 42 of their papers we have counts for
48 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…
Minimization of the first eigenvalue for the Lamé system
Antoine Henrot, Antoine Lemenant, Yannick Privat
In this article, we address the problem of determining a domain in that minimizes the first eigenvalue of the Lamé system under a volume constraint. We begin by esta…
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,…
Vector-borne disease outbreak control via instant releases
Luis Almeida, Jesús Bellver Arnau, Yannick Privat +1
This paper is devoted to the study of optimal release strategies to control vector-borne diseases, such as dengue, Zika, chikungunya and malaria. Two techniques are considered: the…
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…