First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints (Q269811)
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scientific article; zbMATH DE number 6563838
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints |
scientific article; zbMATH DE number 6563838 |
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First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints (English)
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6 April 2016
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The study is dedicated to an optimal control problem for the stationary Navier-Stokes equation with a constraint on the state and on the control. Under some special assumptions, necessary first-order optimality conditions are derived. Classical methods and results in variational calculus and functional analysis are used. Second-order necessary optimality conditions are obtained, too, as an application of a result published in the article: [\textit{B. T. Kien} et al., J. Optim. Theory Appl. 165, No. 1, 30--61 (2015; Zbl 1318.49039)].
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optimal control
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stationary Navier-Stokes equations
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optimality conditions
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Pontryagin's principle
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state constraint
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