A relaxation result for micromagnetics in SBV
نویسنده
چکیده
An integral representation for the functional F(m, M) := inf { lim inf k→+∞ ∫ Ω f(x, mk(x),∇mk(x)) dx + ∫ Ω∩S(mk) |[mk](x)|dH : mk ∈ SBV (Ω;R ), |mk(x)| = 1 a.e. in Ω, mk → m in L(Ω;R ), ∇mk ⇀ M in L(Ω;R ) } . This problem is motivated by equilibria issues in micromagnetics.
منابع مشابه
Relaxation in SBV p ( Ω ; S d − 1 )
An integral representation formula is obtained for the relaxation of a class of energy functionals defined in the class of SBVp functions that are constrained to have values on the sphere Sd−1.
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