Huber, Alexander (2012) Boundary regularity for minimizers of the micromagnetic energy functional. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 43 (1-2). pp. 1-23. ISSN 0944-2669,
Full text not available from this repository. (Request a copy)Abstract
Motivated by the construction of time-periodic solutions for the three-dimensional Landau-Lifshitz-Gilbert equation in the case of soft and small ferromagnetic particles, we investigate the regularity properties of minimizers of the micromagnetic energy functional at the boundary. In particular, we show that minimizers are regular provided the volume of the particle is sufficiently small. The approach uses a reflection construction at the boundary and an adaption of the well-known regularity theory for minimizing harmonic maps into spheres.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STATIONARY HARMONIC MAPS; SINGULAR SET; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 May 2020 11:45 |
| Last Modified: | 25 May 2020 11:45 |
| URI: | https://pred.uni-regensburg.de/id/eprint/19656 |
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