A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types

DOI10.4171/JEMS/464zbMath1301.49124arXiv1309.2494MaRDI QIDQ461276

Felix Otto, Radu Ignat, Lukas Döring

Publication date: 10 October 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2494

zbMATH Keywords

bifurcationtransition layermicromagnetics\(\Gamma\)-convergenceconcentration-compactness

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Bifurcations in context of PDEs (35B32) Electro- and magnetostatics (78A30) Variational principles of physics (49S05) Pattern formations in context of PDEs (35B36)

Related Items (10)

Asymmetric domain walls of small angle in soft ferromagnetic films ⋮ Instability of point defects in a two-dimensional nematic liquid crystal model ⋮ The mathematics of thin structures ⋮ Uniqueness result for a weighted pendulum equation modeling domain walls in notched ferromagnetic nanowires ⋮ Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model ⋮ Transverse domain walls in thin ferromagnetic strips ⋮ Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction ⋮ An effective model for boundary vortices in thin-film micromagnetics ⋮ One-dimensional in-plane edge domain walls in ultrathin ferromagnetic films ⋮ The magnetization ripple: a nonlocal stochastic PDE perspective

Cites Work

• Unnamed Item
• Unnamed Item
• A zigzag pattern in micromagnetics
• A compactness result for Landau state in thin-film micromagnetics
• Ginzburg-Landau minimizers with prescribed degrees. capacity of the domain and emergence of vortices
• A \(\Gamma \)-convergence result for Néel walls in micromagnetics
• On the energy of domain walls in ferromagnetism
• The logarithmic tail of Néel walls
• Logarithmic lower bounds for Néel walls
• Degree theory of BMO. I: Compact manifolds without boundaries
• On the Morse-Sard property and level sets of Sobolev and BV functions
• Limiting domain wall energy for a problem related to micromagnetics
• Vortex energy and 360° Néel walls in thin-film micromagnetics
• Néel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations
• Compactness, Kinetic Formulation, and Entropies for a Problem Related to Micromagnetics
• The concertina pattern. From micromagnetics to domain theory

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