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.
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Tachim Medjo, T. Maximum Principle of Optimal Control of the Primitive Equations of the Ocean with Two Point Boundary State Constraint. Appl Math Optim 62, 1–26 (2010). https://doi.org/10.1007/s00245-009-9092-y
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DOI: https://doi.org/10.1007/s00245-009-9092-y