First- and second-order necessary optimality conditions for optimal control problems governed by stationary Navier-Stokes equations with pure state constraints

DOI10.1007/s10013-015-0173-8zbMath1337.49037OpenAlexW2285277701MaRDI QIDQ269811

Bui Trong Kien, Nguyen Hai Son, Gue Myung Lee

Publication date: 6 April 2016

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-015-0173-8

zbMATH Keywords

optimal controloptimality conditionsPontryagin's principlestate constraintstationary Navier-Stokes equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Numerical solutions to equations with nonlinear operators (65J15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

No-gap optimality conditions for an optimal control problem with pointwise control-state constraints ⋮ Second-order optimality conditions and solution stability to optimal control problems governed by stationary Navier-Stokes equations

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