Second-order Optimality Conditions for Optimal Control of the Primitive Equations of the Ocean with Periodic Inputs
Journal Article
·
· Applied Mathematics and Optimization
- 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
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