Uniqueness result for a weighted pendulum equation modeling domain walls in notched ferromagnetic nanowires

DOI10.5802/crmath.349zbMath1504.35558arXiv2112.13358OpenAlexW4226069870MaRDI QIDQ2152524

Radu Ignat

Publication date: 8 July 2022

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13358

zbMATH Keywords

pendulum equationferromagnetic nanowires

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of magnetic materials (82D40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Statistical mechanics of nanostructures and nanoparticles (82D80) PDEs in connection with statistical mechanics (35Q82)

Related Items (1)

Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction

Cites Work

• Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics
• A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types
• Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals
• Stability for static walls in ferromagnetic nanowires
• On the uniqueness of minimisers of Ginzburg-Landau functionals

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