Null controllability of the N-dimensional Stokes system with N-1 scalar controls

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:246

Article

Coron, Jean-Michel¹  Guerrero, Sergio¹ 

[1] Univ Paris 06, Lab Jacques Louis Li, UMR 7598, F-75005 Paris, France

关键词: Carleman inequalities;    Stokes system;    Controllability;   

DOI  :  10.1016/j.jde.2008.10.019

来源: Elsevier

【 摘 要 】

In this paper we deal with the N-dimensional Stokes system in a bounded domain with Dirichlet boundary conditions. The main result establishes the null controllability with internal controls having one vanishing component. This result improves the one in [E. Fernandez-Cara, S. Guerrero, O.Yu. Intanuvilov, J.-P. Puel, Some controllability results for the N-dimensional Navier-Stokes and Boussinesq systems with N - 1 scalar controls, SIAM J. Control Optim. 45 (1) (2006) 146-173], since no condition is imposed on the control domain. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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