Published online by Cambridge University Press: 21 April 2006
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.