[Contrôle insensibilisant pour un modèle de circulation océanique pour les grandes échelles]
Nous considérons un modèle océanique quasi-géostrophique linéarisé. On fixe une fonctionnelle d'observation de l'état et on cherche des contrôles insensibilisants (resp. ε-insensibilisants). L'existence de ces contrôles est équivalente à la contrôlabilité exacte à zéro (resp. la contrôlabilité approchée) d'un système en cascade de type Stokes. Sous des hypothèses géométriques raisonables sur les domaines où l'on exerce l'observation et le contrôle, on est capable de montrer ces propriétés.
We consider here a linear quasi-geostrophic ocean model. We look for controls insensitizing (resp. ε-insensitizing) an observation function of the state. The existence of such controls is equivalent to a null controllability property (resp. an approximate controllability property) for a cascade Stokes-like system. Under reasonable assumptions on the spatial domains where the observation and the control are performed, we are able to prove these properties.
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@article{CRMATH_2003__337_4_265_0,
author = {Fern\'andez-Cara, Enrique and Garcia, Galina C. and Osses, Axel},
title = {Insensitizing controls for a large-scale ocean circulation model},
journal = {Comptes Rendus. Math\'ematique},
pages = {265--270},
publisher = {Elsevier},
volume = {337},
number = {4},
year = {2003},
doi = {10.1016/S1631-073X(03)00334-0},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(03)00334-0/}
}
TY - JOUR AU - Fernández-Cara, Enrique AU - Garcia, Galina C. AU - Osses, Axel TI - Insensitizing controls for a large-scale ocean circulation model JO - Comptes Rendus. Mathématique PY - 2003 SP - 265 EP - 270 VL - 337 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(03)00334-0/ DO - 10.1016/S1631-073X(03)00334-0 LA - en ID - CRMATH_2003__337_4_265_0 ER -
%0 Journal Article %A Fernández-Cara, Enrique %A Garcia, Galina C. %A Osses, Axel %T Insensitizing controls for a large-scale ocean circulation model %J Comptes Rendus. Mathématique %D 2003 %P 265-270 %V 337 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(03)00334-0/ %R 10.1016/S1631-073X(03)00334-0 %G en %F CRMATH_2003__337_4_265_0
Fernández-Cara, Enrique; Garcia, Galina C.; Osses, Axel. Insensitizing controls for a large-scale ocean circulation model. Comptes Rendus. Mathématique, Tome 337 (2003) no. 4, pp. 265-270. doi : 10.1016/S1631-073X(03)00334-0. http://archive.numdam.org/articles/10.1016/S1631-073X(03)00334-0/
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