Observation of the Stokes system for general boundary condition
Jérôme Le Rousseau1 ; Luc Robbiano2
1Laboratoire analyse, géométrie et applications, CNRS UMR 7539, Université Sorbonne Paris-Nord, 93430 Villetaneuse, France.
2Université Paris-Saclay, UVSQ, CNRS UMR 8100, Laboratoire de Mathématiques de Versailles, 78000 Versailles, France.
Journées équations aux dérivées partielles (2025), Exposé no. 6, 12 p.

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.

Nous nous intéressons ici à démontrer des résultats d’observabilité pour le système de Stokes et pour différentes conditions au bord. En particulier nous traitons les cas des conditions de Dirichlet, de Navier et de Neumann. Après un rappel des approches du même type de problème pour les équations paraboliques et une courte revue de la littérature pour le problème de Stokes, nous donnons les résultats principaux ainsi que quelques idées de la démonstration.

Publié le :
DOI : 10.5802/jedp.697
Classification : 35G35, 76D07, 93B07, 93C20
Keywords: Stokes, Carleman, Boundary problems

Jérôme Le Rousseau  1   ; Luc Robbiano  2

1 Laboratoire analyse, géométrie et applications, CNRS UMR 7539, Université Sorbonne Paris-Nord, 93430 Villetaneuse, France.
2 Université Paris-Saclay, UVSQ, CNRS UMR 8100, Laboratoire de Mathématiques de Versailles, 78000 Versailles, France. 
Jérôme Le Rousseau; Luc Robbiano. Observation of the Stokes system for general boundary condition. Journées équations aux dérivées partielles (2025), Exposé no. 6, 12 p.. doi: 10.5802/jedp.697
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