Insensitizing controls for the Navier–Stokes equations
M Gueye - Annales de l'Institut Henri Poincaré C, Analyse non …, 2013 - Elsevier
In this paper, we deal with the existence of insensitizing controls for the Navier–Stokes
equations in a bounded domain with Dirichlet boundary conditions. We prove that there exist …
equations in a bounded domain with Dirichlet boundary conditions. We prove that there exist …
Insensitizing controls with two vanishing components for the three-dimensional Boussinesq system
N Carreno, S Guerrero, M Gueye - ESAIM: Control, Optimisation and …, 2015 - numdam.org
In this paper we prove the existence of insensitizing controls for a viscous newtonian fluid
wherein thermic effects are taken into acount, the so called Boussinesq system. The proof …
wherein thermic effects are taken into acount, the so called Boussinesq system. The proof …
Insensitizing controls with one vanishing component for the Navier–Stokes system
N Carreno, M Gueye - Journal de Mathématiques Pures et Appliquées, 2014 - Elsevier
In this paper we prove the existence of insensitizing controls, having one vanishing
component, for the local L 2-norm of the solutions of the Navier–Stokes system. This …
component, for the local L 2-norm of the solutions of the Navier–Stokes system. This …
Insensitizing controls for the 1-D wave equation
R Dáger - SIAM Journal on Control and Optimization, 2006 - SIAM
We study the insensitizing controllability property of the one-dimensional wave equation
observed in some open set in two cases: when the control acts in an interior region and …
observed in some open set in two cases: when the control acts in an interior region and …
Some results on the controllability of coupled semilinear wave equations: the desensitizing control case
L Tebou - SIAM journal on control and optimization, 2011 - SIAM
First, we consider a semilinear hyperbolic equation with partially known initial data in a
bounded domain. For this system, we construct a locally distributed control that desensitizes …
bounded domain. For this system, we construct a locally distributed control that desensitizes …
Insensitizing controls for the Boussinesq system with no control on the temperature equation
N Carreño - 2017 - projecteuclid.org
In this paper, we prove the existence of controls insensitizing the L^2-norm of the solution of
the Boussinesq system. The novelty here is that no control is used on the temperature …
the Boussinesq system. The novelty here is that no control is used on the temperature …
Insensitizing control for linear and semi-linear heat equations with partially unknown domain
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 …
Lipschitz nonlinearity, posed on a bounded domain of ℝ N (N∈ ℕ*), assumed to be an …
Desensitizing control for the heat equation with respect to domain variations
This article is dedicated to desensitizing issues for a quadratic functional involving the
solution of the linear heat equation with respect to domain variations. This work can be seen …
solution of the linear heat equation with respect to domain variations. This work can be seen …
Locally distributed desensitizing controls for the wave equation
L Tebou - Comptes Rendus. Mathématique, 2008 - comptes-rendus.academie-sciences …
Nous considérons dans un domaine borné une équation des ondes avec des données
initiales incomplètes. Pour ce système, nous construisons des contrôles localement …
initiales incomplètes. Pour ce système, nous construisons des contrôles localement …
Sharp observability estimates for a system of two coupled nonconservative hyperbolic equations
L Tebou - Applied Mathematics & Optimization, 2012 - Springer
We consider a system of two coupled nonconservative wave equations. For this system, we
prove several observability estimates. Those observability estimates are sharp in the sense …
prove several observability estimates. Those observability estimates are sharp in the sense …