Curved thin-film limits of chiral Dirichlet energies
DOI10.1016/j.na.2023.113303zbMath1518.49053arXiv2212.07685OpenAlexW4376274119MaRDI QIDQ6170424
Giovanni Di Fratta, Valeriy V. Slastikov
Publication date: 12 July 2023
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.07685
harmonic mapsmicromagneticsDirichlet energyDzyaloshinskii-Moriya interactionmagnetic skyrmions\( \Gamma \)-convergencemagnetic thin films
Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Statistical mechanics of magnetic materials (82D40) Variational principles of physics (49S05)
Cites Work
- Micromagnetics of curved thin films
- Analysis of the operator \(\Delta^{-1}\text{div}\) arising in magnetic models
- An introduction to \(\Gamma\)-convergence
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- Thin-Film Limits for Landau–Lifshitz–Gilbert Equations
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