(In-)stability of singular equivariant solutions to the Landau–Lifshitz–Gilbert equation
2013 ◽
Vol 24
(6)
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pp. 921-948
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Keyword(s):
In this paper, we use formal asymptotic arguments to understand the stability properties of equivariant solutions to the Landau–Lifshitz–Gilbert model for ferromagnets. We also analyse both the harmonic map heatflow and Schrödinger map flow limit cases. All asymptotic results are verified by detailed numerical experiments, as well as a robust topological argument. The key result of this paper is that blowup solutions to these problems are co-dimension one and hence both unstable and non-generic.
2017 ◽
Vol 14
(01)
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pp. 1750007
Keyword(s):
2016 ◽
Vol 91
(5-8)
◽
pp. 1781-1789
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Keyword(s):
2003 ◽
Vol 2003
(2)
◽
pp. 109-117
1968 ◽
Vol 78
(1)
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pp. 91-103
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Keyword(s):
Keyword(s):