Optimal control of the Primitive Equations of the Ocean with Lagrangian observations

Maëlle Nodet 1
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : We consider an optimal control problem for the three-dimensional non-linear Primitive Equations of the ocean in a vertically bounded and horizontally periodic domain. The observation operator maps a solution of the Primitive Equations to the trajectory of a Lagrangian particle. This paper proves the existence of an optimal control for the regularized problem. To do that, we prove also new energy estimates for the Primitive Equations, thanks to well-chosen functional spaces, which distinguish the vertical dimension from the horizontal ones. We illustrate the result with a numerical experiment.
Liste complète des métadonnées

Littérature citée [13 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00268804
Contributeur : Maëlle Nodet <>
Soumis le : mercredi 2 avril 2008 - 11:39:27
Dernière modification le : mercredi 11 avril 2018 - 01:59:49
Document(s) archivé(s) le : vendredi 25 novembre 2016 - 21:46:43

Fichier

RR-6490.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Maëlle Nodet. Optimal control of the Primitive Equations of the Ocean with Lagrangian observations. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2010, 16 (2), pp.400-419. 〈10.1051/cocv/2009003〉. 〈inria-00268804v2〉

Partager

Métriques

Consultations de la notice

488

Téléchargements de fichiers

243