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Global weak solutions for the Landau–Lifschitz equation with magnetostriction
Author(s) -
Carbou G.,
Efendiev M. A.,
Fabrie P.
Publication year - 2011
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.1440
Subject(s) - mathematics , magnetostriction , limit (mathematics) , ferromagnetism , landau–lifshitz–gilbert equation , set (abstract data type) , weak solution , mathematical physics , mathematical analysis , condensed matter physics , quantum mechanics , magnetic field , physics , computer science , magnetization , programming language
Abstract In this paper, we prove the global in time existence for weak solutions to a Landau–Lifschitz system with magnetostriction arising from the ferromagnetism theory. We describe also the bf ω‐limit set of a solution. Copyright © 2011 John Wiley & Sons, Ltd.