3D-2D Asymptotic Analysis for Micromagnetic Thin Films
SISSA, Via Beirut 4, 34013 Trieste, Italy; email@example.com.
2 Dipartimento di Matematica, Università di Roma I, P.le A. Moro 2, 00185 Roma, Italy; firstname.lastname@example.org.
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