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Note on a Hamiltonian formalism for the flow of a magnetic fluid with a free surface
Published online by Cambridge University Press: 21 April 2006
Abstract
The potential flow of an inviscid ferromagnetic fluid is formulated as a Hamiltonian system: the conjugate coordinates are the normal displacement of the free surface and the velocity potential on the free surface. If we take the equation of the magnetic field as a constraint, we can see that the flow of a magnetic liquid is a control-theory problem; the potential of the magnetic self-field is the control variable.
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- © 1987 Cambridge University Press
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