Skip to Main content Skip to Navigation
Journal articles

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, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
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.
Complete list of metadata

Cited literature [13 references]  Display  Hide  Download
Contributor : Maëlle Nodet Connect in order to contact the contributor
Submitted on : Wednesday, April 2, 2008 - 11:39:27 AM
Last modification on : Tuesday, October 19, 2021 - 11:12:56 PM
Long-term archiving on: : Friday, November 25, 2016 - 9:46:43 PM


Files produced by the author(s)




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⟩



Record views


Files downloads