Remarks on the null controllability of the Burgers equation

Enrique Fernández-Cara; Sergio Guerrero

doi:10.1016/j.crma.2005.06.005

Partial Differential Equations/Optimal Control

Remarks on the null controllability of the Burgers equation

Presented by: Gilles Lebeau

Enrique Fernández-Cara ¹; Sergio Guerrero ¹

¹ Dpto. E.D.A.N., Universidad de Sevilla, Aptdo. 1160, 41080 Sevilla, Spain

Comptes Rendus. Mathématique, Volume 341 (2005) no. 4, pp. 229-232.

Abstract
Résumé

In the context of the Burgers equation with distributed controls, we present optimal estimates for the minimal time of controllability $T (r)$ of the initial data of norm ⩽r in $L^{2}$ .

Dans le contexte de l'équation de Burgers avec contrôles distribués, on présente une estimation optimale du temps minimal de contrôlabilité $T (r)$ des données initiales de norme ⩽r dans $L^{2}$ .

Received: 2005-05-12
Accepted: 2005-05-31
Published online: 2005-08-15

DOI: 10.1016/j.crma.2005.06.005

Author's affiliations:

Enrique Fernández-Cara ¹; Sergio Guerrero ¹

¹ Dpto. E.D.A.N., Universidad de Sevilla, Aptdo. 1160, 41080 Sevilla, Spain

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     author = {Enrique Fern\'andez-Cara and Sergio Guerrero},
     title = {Remarks on the null controllability of the {Burgers} equation},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {229--232},
     publisher = {Elsevier},
     volume = {341},
     number = {4},
     year = {2005},
     doi = {10.1016/j.crma.2005.06.005},
     language = {en},
}

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Enrique Fernández-Cara; Sergio Guerrero. Remarks on the null controllability of the Burgers equation. Comptes Rendus. Mathématique, Volume 341 (2005) no. 4, pp. 229-232. doi : 10.1016/j.crma.2005.06.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.06.005/

References
Cited by

[1] S. Anita; D. Tataru Null controllability for the dissipative semilinear heat equation, Appl. Math. Optim., Volume 46 (2002), pp. 97-105

[2] A. Fursikov; O.Yu. Imanuvilov Controllability of Evolution Equations, Lecture Notes, vol. 34, Seoul National University, Korea, 1996

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