Abstract
The Rosensweig instability is the phenomenon that above a certain threshold of
a vertical magnetic field peaks appear on the free surface of a horizontal layer of
magnetic fluid. In contrast to almost all classical hydrodynamical systems, the
nonlinearities of the Rosensweig instability are entirely triggered by the properties
of a deformed and a priori unknown surface. The resulting problems in defining an
adjoint operator for such nonlinearities are illustrated. The implications concerning
amplitude equations for pattern forming systems with a deformed surface are discussed.
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