Differential Stability of Control-Constrained Optimal Control Problems for the Navier-Stokes Equations

DOI10.1080/01630560500434278zbMath1094.35090OpenAlexW2016905837MaRDI QIDQ3377962

Michael Hinze, Roland Griesse, Michael Hintermüller

Publication date: 29 March 2006

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560500434278

zbMATH Keywords

coercivityderivativeHessianLagrange function

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Navier-Stokes equations (35Q30)

Related Items

Continuous differentiability of the value function of semilinear parabolic infinite time horizon optimal control problems on \(L^2(\Omega)\) Under control constraints, Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback Laws

Cites Work

• On some control problems in fluid mechanics
• Constrained optimal control of Navier--Stokes flow by semismooth Newton methods
• Parametric Sensitivity Analysis in Optimal Control of a Reaction Diffusion System. I. Solution Differentiability
• The lagrange-newton method for infinite-dimensional optimization problems
• Strongly Regular Generalized Equations
• Optimal Controls of Navier–Stokes Equations
• The SQP method for control constrained optimal control of the Burgers equation
• The Velocity Tracking Problem for Navier--Stokes Flows With Boundary Control
• Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control
• Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
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