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

被引:0
作者
T. Tachim Medjo
机构
[1] Florida International University,Department of Mathematics
来源
Applied Mathematics & Optimization | 2011年 / 63卷
关键词
Primitive equations; Maximum principle; Periodic inputs; Necessary and sufficient conditions;
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摘要
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.
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页码:75 / 106
页数:31
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