WAVES IN FERROMAGNETIC MEDIA
- 7 January 2002
- journal article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 27 (7-8) , 1625-1658
- https://doi.org/10.1081/pde-120005850
Abstract
It is shown that small perturbations of equilibrium states in ferromagnetic media give rise to standing and traveling waves that are stable for long times. The evolution of the wave profiles is governed by semilinear heat equations. The mathematical model underlying these results consists of the Landau–Lifshitz equation for the magnetization vector and Maxwell's equations for the electromagnetic field variables. The model belongs to a general class of hyperbolic equations for vector-valued functions, whose asymptotic properties are analyzed rigorously. The results are illustrated with numerical examples.Keywords
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