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Limiting domain wall energy for a problem related to micromagnetics. (English) Zbl 1031.35142

This paper concerns the asymptotic limit of a family of functionals related to the theory of micromagnetics in two dimensions. A compactness result for families of uniformly bounded energy is proved. The authors prove that the minimal wall energy is twice the perimeter.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
82D40 Statistical mechanics of magnetic materials
35A15 Variational methods applied to PDEs
35J35 Variational methods for higher-order elliptic equations
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