Optimal Control of the Two-Dimensional Stationary Navier--Stokes Equations with Measure Valued Controls
From MaRDI portal
Publication:4630683
DOI10.1137/18M1185582zbMath1433.49037OpenAlexW2937066181WikidataQ128065525 ScholiaQ128065525MaRDI QIDQ4630683
Publication date: 23 April 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1185582
Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Navier-Stokes equations (35Q30)
Related Items
Optimal control of the linear wave equation by time-depending BV-controls: a semi-smooth Newton approach, Optimal Borel measure controls for the two-dimensional stationary Boussinesq system, Optimal borel measure-valued controls to the viscous Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on two-dimensional bounded domains, An optimal control problem for the Navier-Stokes equations with point sources, A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures, Error estimates for FEM discretizations of the Navier-Stokes equations with Dirac measures, Optimal Control of the Two-Dimensional Evolutionary Navier--Stokes Equations with Measure Valued Controls, Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains
Cites Work
- Unnamed Item
- Unnamed Item
- Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems
- A measure space approach to optimal source placement
- Existence and regularity of very weak solutions of the stationary Navier-Stokes equations
- Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
- A review on sparse solutions in optimal control of partial differential equations
- Spike controls for elliptic and parabolic PDEs
- Sparse initial data identification for parabolic PDE and its finite element approximations
- State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations
- Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls
- Parabolic control problems in space-time measure spaces
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- A duality-based approach to elliptic control problems in non-reflexive Banach spaces
- Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions
- Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
- Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
- Finite Element Methods for Navier-Stokes Equations
- First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
- Optimal Controls of Navier–Stokes Equations
- Parabolic Control Problems in Measure Spaces with Sparse Solutions
- Measure Valued Directional Sparsity for Parabolic Optimal Control Problems
- Optimal Control of Semilinear Elliptic Equations in Measure Spaces