Maximum Principle of Optimal Control of the Primitive Equations of the Ocean with Two Point Boundary State Constraint

Maximum Principle of Optimal Control of the Primitive Equations of the Ocean with Two Point... We study in this article the Pontryagin’s maximum principle for a class of control problems associated with the primitive equations (PEs) of the ocean with two point boundary state constraint. These optimal problems involve a two point boundary state constraint similar to that considered in Wang, Nonlinear Anal. 51, 509–536, 2002 for the three-dimensional Navier-Stokes (NS) equations. The main difference between this work and Wang, Nonlinear Anal. 51, 509–536, 2002 is that the nonlinearity in the PEs is stronger than in the three-dimensional NS systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Maximum Principle of Optimal Control of the Primitive Equations of the Ocean with Two Point Boundary State Constraint

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Publisher
Springer-Verlag
Copyright
Copyright © 2010 by Springer Science+Business Media, LLC
Subject
Mathematics; Numerical and Computational Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-009-9092-y
Publisher site
See Article on Publisher Site

Abstract

We study in this article the Pontryagin’s maximum principle for a class of control problems associated with the primitive equations (PEs) of the ocean with two point boundary state constraint. These optimal problems involve a two point boundary state constraint similar to that considered in Wang, Nonlinear Anal. 51, 509–536, 2002 for the three-dimensional Navier-Stokes (NS) equations. The main difference between this work and Wang, Nonlinear Anal. 51, 509–536, 2002 is that the nonlinearity in the PEs is stronger than in the three-dimensional NS systems.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Aug 1, 2010

References

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