A result concerning the global approximate controllability of the Navier–Stokes system in dimension 3

In this paper we deal with the three-dimensional Navier–Stokes system, posed in a cube. In this context, we prove a result concerning its global approximate controllability by means of boundary controls which act in some part of the boundary. Dans cet article on considére le système de Navier–Stokes...

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Bibliographic Details
Published in:Journal de mathématiques pures et appliquées 2012-12, Vol.98 (6), p.689-709
Main Authors: Guerrero, Sergio, Imanuvilov, O.Yu, Puel, J.-P.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General mathematics
General, history and biography
Global approximate controllability
Mathematical analysis
Mathematics
Navier–Stokes system
Partial differential equations
Sciences and techniques of general use
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Summary:In this paper we deal with the three-dimensional Navier–Stokes system, posed in a cube. In this context, we prove a result concerning its global approximate controllability by means of boundary controls which act in some part of the boundary. Dans cet article on considére le système de Navier–Stokes sur un cube. Dans ce cadre, on démontre un résultat global concernant la contrôlabilité approchée en utilisant des contrôles frontières sur une partie du bord.
ISSN:0021-7824
DOI:10.1016/j.matpur.2012.05.008