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
Link To Document :
