48 citations · 174 across the 42 of their papers we have counts for
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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,…
Insensitizing control for linear and semi-linear heat equations with partially unknown domain
Pierre Lissy, Yannick Privat, Yacouba Simporé
We consider a semi-linear heat equation with Dirichlet boundary conditions and globally Lipschitz nonlinearity, posed on a bounded domain of R^N (N N *), assumed to be an unk…
Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint
Yannick Privat, Rémi Robin, Mario Sigalotti
This article deals with the existence of hypersurfaces minimizing general shape functionals under certain geometric constraints. We consider as admissible shapes orientable hypersu…