Homogenization of chiral magnetic materials: a mathematical evidence of Dzyaloshinskii's predictions on helical structures
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Publication:2179885
DOI10.1007/s00332-019-09606-8zbMath1439.35037OpenAlexW2999462745MaRDI QIDQ2179885
Giovanni Di Fratta, Elisa Davoli
Publication date: 13 May 2020
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-019-09606-8
Variational methods applied to PDEs (35A15) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Variational principles of physics (49Sxx)
Related Items (8)
The mathematics of thin structures ⋮ Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction ⋮ The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics ⋮ Existence results in large-strain magnetoelasticity ⋮ Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions ⋮ On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces ⋮ Lattice solutions in a Ginzburg-Landau model for a chiral magnet ⋮ Linearized von Kármán theory for incompressible magnetoelastic plates
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