Exact Internal Controllability for the Two-Dimensional Magnetohydrodynamic Equations

DOI10.1137/040611884zbMath1160.93310OpenAlexW1976629404MaRDI QIDQ3525938

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Publication date: 23 September 2008

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

Full work available at URL: https://semanticscholar.org/paper/4a1bff00684f8aa29e343bcadad9f8fa8ffc24e4

zbMATH Keywords

controllabilityobservability inequalityCarleman estimatesStokes equationsmagnetohydrodynamic equationsdynamo equations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Observability (93B07) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (10)

Local exact controllability to trajectories of the magneto-micropolar fluid equations ⋮ Local Exact Controllability for the Planar Compressible Magnetohydrodynamic Equations ⋮ Exact internal controllability for the two-dimensional Navier--Stokes equations with the Navier slip boundary conditions ⋮ Global exact controllability of ideal incompressible magnetohydrodynamic flows through a planar duct ⋮ Approximate controllability of the magnetohydrodynamic equations on the three-dimensional torus ⋮ Carleman estimates for a magnetohydrodynamics system and application to inverse source problems ⋮ Existence of controls insensitizing the rotational of the solution of the Navier-Stokes system having a vanishing component ⋮ Local controllability to trajectories of the magnetohydrodynamic equations ⋮ Remarks on the Controllability of Some Parabolic Equations and Systems ⋮ Inverse coefficient problem for a magnetohydrodynamics system by Carleman estimates

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