Optimal Control of the Two-Dimensional Evolutionary Navier--Stokes Equations with Measure Valued Controls

DOI10.1137/20M1351400zbMath1477.35119arXiv2007.03991OpenAlexW4239966191MaRDI QIDQ4994996

Karl Kunisch, Eduardo Casas

Publication date: 22 June 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03991

zbMATH Keywords

optimal controlNavier-Stokes equations

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (7)

On regularization of the Lagrange principle in the optimization problems for linear distributed Volterra type systems with operator constraints ⋮ Optimal borel measure-valued controls to the viscous Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on two-dimensional bounded domains ⋮ Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions ⋮ Second-Order Sufficient Conditions in the Sparse Optimal Control of a Phase Field Tumor Growth Model with Logarithmic Potential ⋮ Optimal control of two dimensional third grade fluids ⋮ Weak and very weak solutions to the viscous Cahn-Hilliard-Oberbeck-Boussinesq phase-field system on two-dimensional bounded domains ⋮ Optimal control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space

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