Second-order Optimality Conditions for Optimal Control of the Primitive Equations of the Ocean with Periodic Inputs

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-010-9112-Y· OSTI ID:21480244

Tachim Medjo, T., E-mail: [e-mail] ^[1]

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1. Florida International University, Department of Mathematics (United States)

We investigate in this article the Pontryagin's maximum principle for control problem associated with the primitive equations (PEs) of the ocean with periodic inputs. We also derive a second-order sufficient condition for optimality. This work is closely related to Wang (SIAM J. Control Optim. 41(2):583-606, 2002) and He (Acta Math. Sci. Ser. B Engl. Ed. 26(4):729-734, 2006), in which the authors proved similar results for the three-dimensional Navier-Stokes (NS) systems.

• OSTI ID: 21480244
• Journal Information: Applied Mathematics and Optimization, Vol. 63, Issue 1; Other Information: DOI: 10.1007/s00245-010-9112-y; Copyright (c) 2011 Springer Science+Business Media, LLC; ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL MODELS
NAVIER-STOKES EQUATIONS
OPTIMAL CONTROL
PERIODICITY
THREE-DIMENSIONAL CALCULATIONS
CONTROL
DIFFERENTIAL EQUATIONS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
VARIATIONS