Abstract
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. Copyright © Cambridge University Press 2013.
Original language | English |
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Pages (from-to) | 921-948 |
Journal | European Journal of Applied Mathematics |
Volume | 24 |
DOIs | |
Publication status | Published - 2013 |