Singularities of divergence-free vector fields with values into \(S^1\) or \(S^2\): applications to micromagnetics

DOI10.1142/S1793744212300012zbMath1262.35194OpenAlexW2056402155MaRDI QIDQ1934947

Radu Ignat

Publication date: 30 January 2013

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793744212300012

zbMATH Keywords

regularitySobolev spacesdomain wallseikonal equationGinzburg-Landau theorykinetic formulation{\(\Gamma\)}-convergenceinterior and boundary vortices

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational methods applied to PDEs (35A15) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Harmonic maps, etc. (58E20) Electromagnetic theory (general) (78A25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Statistical mechanics of magnetic materials (82D40) Variational principles of physics (49S05) PDEs in connection with statistical mechanics (35Q82)

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