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Comptes Rendus Mathématique
Volume 346, n° 3-4
pages 167-172 (février 2008)
Doi : 10.1016/j.crma.2007.11.031
accepted : 21 November 2007
Controllability of the Ginzburg–Landau equation
Contrôlabilité de l’équation de Ginzburg–Landau
 

Lionel Rosier a, b , Bing-Yu Zhang c
a Centro de Modelamiento Matemático (CMM) and Departamento de Ingeniería Matemática, Universidad de Chile (UMI CNRS 2807), Avenida Blanco Encalada 2120, Casilla 170-3, Correo 3, Santiago, Chile 
b Institut Élie-Cartan, UMR 7502 UHP/CNRS/INRIA, B.P. 239, 54506 Vandoeuvre-lès-Nancy cedex, France 
c Department of Mathematical Sciences, University of Cincinnati,Cincinnati, OH 45221, USA 

Abstract

This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Null-controllability results are derived from a Carleman estimate and an analysis based upon the theory of sectorial operators. To cite this article: L. Rosier, B.-Y. Zhang, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
Résumé

Cette Note est dévolue à l’étude de la contrôlabilité frontière, ou interne, de l’équation complexe de Ginzburg–Landau. Des résultats de contrôlabilité à zéro sont obtenus au moyen d’une inégalité de Carleman et d’une analyse basée sur la théorie des opérateurs sectoriels. Pour citer cet article : L. Rosier, B.-Y. Zhang, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.


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