Exact controllability for the magnetohydrodynamic equations

DOI10.1002/cpa.10072zbMath1121.93306OpenAlexW2145126970WikidataQ56070225 ScholiaQ56070225MaRDI QIDQ4425978

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Publication date: 15 September 2003

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.10072

Mathematics Subject Classification ID

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

Related Items (14)

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 ⋮ Approximate controllability of the magnetohydrodynamic equations on the three-dimensional torus ⋮ Penalization of Dirichlet Boundary Control for Nonstationary Magneto-Hydrodynamics ⋮ Optimal Control Problems with State Constraint Governed by Magnetohydrodynamic Equations ⋮ Local controllability to trajectories of the magnetohydrodynamic equations ⋮ Remarks on the Controllability of Some Parabolic Equations and Systems ⋮ Controllability and observability theory of certain parabolic integrodifferential equations ⋮ Approximate Deconvolution Models for Magnetohydrodynamics ⋮ Magnetohydrodynamic state estimation with boundary sensors ⋮ Exact controllability of nonlinear diffusion equations arising in reactor dynamics ⋮ On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of Riemannian manifolds ⋮ Determination of a source term in a partial differential equation arising in finance

Cites Work

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• Inéquations en thermoélasticité et magnétohydrodynamique
• Some mathematical questions related to the mhd equations
• On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions
• On exact controllability for the Navier-Stokes equations
• Exact controllability of the Navier-Stokes and Boussinesq equations
• Local internal controllability of the Navier-Stokes equations.

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