Bifurcating Instability of the Free Surface of a Ferrofluid

Consider a slab of ferrofluid bounded below by a fixed boundary and above by a vacuum. If the fluid is subjected to a vertically directed magnetic field of sufficient strength, surface waves appear. The equations which describe this phenomenon are derived. In the physical space no natural Banach spa...

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Bibliographic Details
Published in:	SIAM journal on mathematical analysis Vol. 14; no. 4; pp. 736 - 766
Main Authors:	Twombly, Evan Eugene, Thomas, J. W.
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.07.1983
Subjects:	Applied mathematics Banach spaces Boundary conditions Eigenvalues Magnetic fields Permeability
ISSN:	0036-1410, 1095-7154
Online Access:	Get full text
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