Ginzburg-Landau Vortices
This book is concerned with the study in two dimensions of stationary solutions of uɛ of a complex valued Ginzburg-Landau equation involving a small parameter ɛ. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The para...
Κύριοι συγγραφείς: | , , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2017.
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Σειρά: | Modern Birkhäuser Classics,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Introduction
- Energy Estimates for S1-Valued Maps
- A Lower Bound for the Energy of S1-Valued Maps on Perforated Domains
- Some Basic Estimates for uɛ
- Toward Locating the Singularities: Bad Discs and Good Discs
- An Upper Bound for the Energy of uɛ away from the Singularities
- uɛ_n: u-star is Born! - u-star Coincides with THE Canonical Harmonic Map having Singularities (aj)
- The Configuration (aj) Minimizes the Renormalization Energy W
- Some Additional Properties of uɛ
- Non-Minimizing Solutions of the Ginzburg-Landau Equation
- Open Problems.