Vortices in the Magnetic Ginzburg-Landau Model
With the discovery of type-II superconductivity by Abrikosov, the prediction of vortex lattices, and their experimental observation, quantized vortices have become a central object of study in superconductivity, superfluidity, and Bose--Einstein condensation. This book presents the mathematics of su...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | Inglés |
| Published: |
Boston, MA :
Birkhäuser Boston
2007.
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| Edition: | 1st ed. 2007. |
| Series: | Progress in Nonlinear Differential Equations and Their Applications,
70 |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462060306719 |
Table of Contents:
- Physical Presentation of the Model—Critical Fields
- First Properties of Solutions to the Ginzburg-Landau Equations
- The Vortex-Balls Construction
- Coupling the Ball Construction to the Pohozaev Identity and Applications
- Jacobian Estimate
- The Obstacle Problem
- Higher Values of the Applied Field
- The Intermediate Regime
- The Case of a Bounded Number of Vortices
- Branches of Solutions
- Back to Global Minimization
- Asymptotics for Solutions
- A Guide to the Literature
- Open Problems.
