Boundary optimal control of MHD flows

DOI10.1007/BF01185228zbMath0827.49003OpenAlexW1970180027MaRDI QIDQ1895798

Yanyan Li

Publication date: 7 December 1995

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01185228

zbMATH Keywords

optimal controlLagrange multiplierelectrically conducting fluidmagnetohydrodynamicsexistence of optimal solutionsMHD flows

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods involving duality (49M29) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (14)

Analysis of an optimal control problem for the three-dimensional coupled modified Navier-Stokes and Maxwell equations ⋮ Boundary control problems for the stationary magnetic hydrodynamic equations in the domain with non-ideal boundary ⋮ Penalization of Dirichlet Boundary Control for Nonstationary Magneto-Hydrodynamics ⋮ Stability estimates for the solutions of control problems for the stationary magnetohydrodynamic equations ⋮ Optimal voltage control of non-stationary Eddy current problems ⋮ Optimal control of magnetic fields in flow measurement ⋮ On two optimal control problems for magnetic fields ⋮ Optimal control for electromagnetic cloaking metamaterial parameters design ⋮ Determining the optimal parameters for the MHD flow and heat transfer with variable viscosity and Hall effect ⋮ Optimal control of semiconductor melts by traveling magnetic fields ⋮ Optimal control of low-frequency electromagnetic fields in multiply connected conductors ⋮ Time varying control of magnetohydrodynamic duct flow ⋮ Control problem for a magneto-micropolar flow with mixed boundary conditions for the velocity field ⋮ Solvability of the boundary value problem for stationary magnetohydrodynamic equations under mixed boundary conditions for the magnetic field

Cites Work

• The equations of stationary, incompressible magnetohydrodynamics with mixed boundary conditions
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• Finite Element Methods for Navier-Stokes Equations
• Analysis and Finite Element Approximation of Optimal Control Problems for the Stationary Navier-Stokes Equations with Distributed and Neumann Controls
• Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
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