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Behaviour of the Landau–Lifschitz equation in a ferromagnetic wire
Author(s) -
Sanchez David
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1030
Subject(s) - ferromagnetism , mathematics , domain (mathematical analysis) , work (physics) , condensed matter physics , mathematical analysis , zero (linguistics) , mathematical physics , quantum mechanics , physics , linguistics , philosophy
Following a suggestion from A. Thiaville and J. Miltat, whose work and experiments are about ferromagnetic thin layers and nanowires, we study in this paper the behaviour of the Landau–Lifschitz equation in a straight ferromagnetic wire. As the diameter of the domain and the exchange coefficient in the equation simultaneously tend to zero, we perform an asymptotic expansion to precise the solution for well‐prepared initial conditions and are led to consider 2D exterior problems. Copyright © 2008 John Wiley & Sons, Ltd.