DocumentCode
974815
Title
Mathematical theory of non-linear waves on the surface of a magnetic fluid
Author
Twombly, Evan ; Thomas, J.W.
Author_Institution
Colorado State University, Ft. Collins, CO
Volume
16
Issue
2
fYear
1980
fDate
3/1/1980 12:00:00 AM
Firstpage
214
Lastpage
220
Abstract
Consider a ferrofluid occupying the region 
. If the fluid is subjected to a sufficiently strong magnetic field, surface waves appear. Under certain assumptions we shall prove that when the field strength becomes greater than a critical strength, a nontrivial wave solution on the surface of the ferrofluid bifurcates from the trivial solution. We then study the stability of these nontrivial solutions.
. If the fluid is subjected to a sufficiently strong magnetic field, surface waves appear. Under certain assumptions we shall prove that when the field strength becomes greater than a critical strength, a nontrivial wave solution on the surface of the ferrofluid bifurcates from the trivial solution. We then study the stability of these nontrivial solutions.Keywords
Magnetic liquids; Surface waves; Bifurcation; Dielectrics; Difference equations; Magnetic fields; Magnetic liquids; Mathematics; Maxwell equations; Permeability; Surface waves; Tensile stress;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/TMAG.1980.1060599
Filename
1060599
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