Limiting domain wall energy for a problem related to micromagnetics
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Publication:2710682
DOI<294::AID-CPA2>3.0.CO;2-S 10.1002/1097-0312(200103)54:3<294::AID-CPA2>3.0.CO;2-SzbMath1031.35142OpenAlexW2089462156MaRDI QIDQ2710682
Sylvia Serfaty, Tristan Rivière
Publication date: 26 April 2001
Full work available at URL: https://doi.org/10.1002/1097-0312(200103)54:3<294::aid-cpa2>3.0.co;2-s
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Statistical mechanics of magnetic materials (82D40) Variational methods for higher-order elliptic equations (35J35)
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Cites Work
- Unnamed Item
- Density of smooth functions between two manifolds in Sobolev spaces
- Regularity for critical points of a non local energy
- Singular perturbation and the energy of folds
- Mathematical theory of medial axis transform
- Line energies for gradient vector fields in the plane
- On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields
- Some Regularity Results In Ferromagnetism
- Compacité par lemmes de moyenne cinétiques pour des énergies de Ginzburg–Landau
- Compactness in Ginzburg-Landau energy by kinetic averaging
