Abstract
Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for the planar ferromagnets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].
Original language | English (US) |
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Pages (from-to) | 541-580 |
Number of pages | 40 |
Journal | Acta Mathematica Sinica, English Series |
Volume | 17 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2001 |
Keywords
- Ginzburg-Landau-type equations
- Gradient estimate
- Minimizing harmonic maps
- Quantization
- Radial solutions
- Stability
- Vortices
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics