[Contrôlabilité de l'équation de Ginzburg–Landau]
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.
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.
Publié le :
@article{CRMATH_2008__346_3-4_167_0,
author = {Rosier, Lionel and Zhang, Bing-Yu},
title = {Controllability of the {Ginzburg{\textendash}Landau} equation},
journal = {Comptes Rendus. Math\'ematique},
pages = {167--172},
publisher = {Elsevier},
volume = {346},
number = {3-4},
year = {2008},
doi = {10.1016/j.crma.2007.11.031},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2007.11.031/}
}
TY - JOUR AU - Rosier, Lionel AU - Zhang, Bing-Yu TI - Controllability of the Ginzburg–Landau equation JO - Comptes Rendus. Mathématique PY - 2008 SP - 167 EP - 172 VL - 346 IS - 3-4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.11.031/ DO - 10.1016/j.crma.2007.11.031 LA - en ID - CRMATH_2008__346_3-4_167_0 ER -
%0 Journal Article %A Rosier, Lionel %A Zhang, Bing-Yu %T Controllability of the Ginzburg–Landau equation %J Comptes Rendus. Mathématique %D 2008 %P 167-172 %V 346 %N 3-4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.11.031/ %R 10.1016/j.crma.2007.11.031 %G en %F CRMATH_2008__346_3-4_167_0
Rosier, Lionel; Zhang, Bing-Yu. Controllability of the Ginzburg–Landau equation. Comptes Rendus. Mathématique, Tome 346 (2008) no. 3-4, pp. 167-172. doi : 10.1016/j.crma.2007.11.031. http://www.numdam.org/articles/10.1016/j.crma.2007.11.031/
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