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Author:

You, Bo (You, Bo.)

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Abstract:

The main objective of this paper is to study the optimal distributed control of the three dimensional non-autonomous primitive equations of large-scale ocean and atmosphere dynamics. We apply the well-posedness and regularity results of solutions for this system as well as some abstract results from the nonlinear functional analysis to establish the existence of optimal controls as well as the first-order necessary optimality condition for an associated optimal control problem in which a distributed control is applied to the temperature.

Keyword:

Adjoint state system Distributed optimal control First-order necessary optimality condi-tions &nbsp Primitive equations

Author Community:

  • [ 1 ] [You, Bo]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

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Source :

EVOLUTION EQUATIONS AND CONTROL THEORY

ISSN: 2163-2480

Year: 2020

Issue: 4

Volume: 10

Page: 937-963

1 . 0 8 1

JCR@2020

1 . 0 8 1

JCR@2020

ESI Discipline: MATHEMATICS;

ESI HC Threshold:28

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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