Observation of the Stokes system for general boundary condition

Here, we are interested in proving observability results for the Stokes system and for various boundary conditions. In particular, we address the Dirichlet, Navier, and Neumann conditions. After reviewing approaches to the same type of problem for parabolic equations and a brief review of the literature for the Stokes problem, we present the main results and some ideas from the proof.

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Publication Details

Journal
Journées Équations aux dérivées partielles
Published
2026-06-19
DOI
https://doi.org/10.5802/jedp.697
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
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article

Observation of the Stokes system for general boundary condition

Jérôme Rousseau, Luc Robbiano
Journées Équations aux dérivées partielles
Stability and Controllability of Differential Equations
article

Observation of the Stokes system for general boundary condition

Jérôme Rousseau, Luc Robbiano
article en

Abstract

Here, we are interested in proving observability results for the Stokes system and for various boundary conditions. In particular, we address the Dirichlet, Navier, and Neumann conditions. After reviewing approaches to the same type of problem for parabolic equations and a brief review of the literature for the Stokes problem, we present the main results and some ideas from the proof.

Journées Équations aux dérivées partielles
Centre National de la Recherche Scientifique (FR), Université de Versailles Saint-Quentin-en-Yvelines (FR), Université Paris-Saclay (FR), Sorbonne Université (FR), Laboratoire Analyse, Géométrie et Applications (FR), Laboratoire de Mathématiques Blaise Pascal (FR), Laboratoire de Mathématiques de Versailles (FR)
Openalex Percentile: Top 8%
Stability and Controllability of Differential Equations
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