| Issue |
ESAIM: COCV
Volume 6, 2001
|
|
|---|---|---|
| Page(s) | 489 - 498 | |
| DOI | https://doi.org/10.1051/cocv:2001119 | |
| Published online | 15 August 2002 | |
3D-2D Asymptotic Analysis for Micromagnetic Thin Films
1
SISSA, Via Beirut 4, 34013 Trieste, Italy; alicandr@sissa.it.
2
Dipartimento di Matematica, Università di Roma I, P.le A. Moro 2, 00185
Roma, Italy; leone@mat.uniroma1.it.
Received:
25
September
2000
Received:
April
2001
Γ-convergence techniques and relaxation results of
constrained energy functionals are used to identify the limiting energy as the
thickness ε approaches zero of a ferromagnetic thin
structure 
, 
, whose
energy is given by
subject to
and to the constraint
where W is any continuous function satisfying p-growth assumptions
with p> 1.
Partial results are also obtained in the case p=1, under
an additional assumption on W.
Mathematics Subject Classification: 35E99 / 35M10 / 49J45 / 74K35
Key words: Γ-limit / thin films / micromagnetics / relaxation of constrained functionals.
© EDP Sciences, SMAI, 2001
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