Gradient vector fields with values into \(S^1\)

DOI10.1016/j.crma.2011.07.024zbMath1225.35052OpenAlexW1981089441MaRDI QIDQ639628

Radu Ignat

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.crma.2011.07.024

zbMATH Keywords

approximation resultslocally finite number of vortices

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Linear first-order PDEs (35F05)

Related Items (2)

Two-dimensional unit-length vector fields of vanishing divergence ⋮ Kinetic formulation of vortex vector fields

Cites Work

• Two-dimensional unit-length vector fields of vanishing divergence
• A compactness result in thin-film micromagnetics and the optimality of the Néel wall
• Regularity of the moments of the solution of a transport equation
• Density of smooth functions between two manifolds in Sobolev spaces
• Lifting of BV functions with values in \(S^1\)
• Dense subsets of \(H^{1/2}(S^2,S^1)\)
• \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
• The space \(\operatorname{BV}(S^2,S^1)\): minimal connection and optimal lifting
• 2-D stability of the Néel wall
• Vortex energy and 360° Néel walls in thin-film micromagnetics
• A reduced theory for thin-film micromagnetics
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