[Contrôlabilité de l'équation de Ginzburg–Landau]
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.
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.
Publié le :
Rosier, Lionel 1, 2 ; Zhang, Bing-Yu 3
@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},
year = {2008},
publisher = {Elsevier},
volume = {346},
number = {3-4},
doi = {10.1016/j.crma.2007.11.031},
language = {en},
url = {https://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 - https://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 https://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
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