The appearance of wave-like patterns on the interface of two ferrofluids

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Date/heure
Date(s) - 03/03/2015
11 h 00 min - 12 h 00 min

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A system of two ferrofluids of an infinite width in the presence of a solenoidal
magnetic field is considered. The heavier ferrofluid is supposed to satisfy a
nonlinear magnetization law, whereas the lighter one is linearised and
normalized. Under these physical circumstances a system of equations is
extracted and the problem is transformed to an evolutionary system in the
context of spatial dynamics. A short bifurcation analysis is then conducted
and the existence of static solitary wave-like patterns on the interface of
the two fluids is proven as homoclinic solutions of the corresponding reduced
system.

[http://www.mathematik.uni-kassel.de/~stylianou/]


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