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The adjoint problem in the presence of a deformed surface: the example of the Rosensweig instability on magnetic fluids | | Adrian Lange
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9 Apr 2002 | | Journal: | Int. J. Modern Phys. B 16 (2002) 1155-1170 | | Subject: | Soft Condensed Matter | cond-mat.soft | | 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. | | Source: | arXiv, cond-mat/0204198 | | Services: | Forum | Review | PDF | Favorites | |
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