Linear and nonlinear aspects of vortices : the Ginzburg-Landau model /
Equations of the Ginzburg-Landau vortices have particular applications to a number of problems in physics, including phase transition phenomena in superconductors, superfluids, and liquid crystals. Building on the results presented by Bethuel, Brazis, and Helein, this current work further analyzes G...
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| Format: | eBook |
| Language: | English |
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Boston :
Birkhauser,
[2000]
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| Series: | Progress in nonlinear differential equations and their applications ;
v. 39. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 1. Qualitative Aspects of Ginzburg-Landau Equations
- 2. Elliptic Operators in Weighted Holder Spaces
- 3. The Ginzburg-Landau Equation in C
- 4. Mapping Properties of L[subscript [epsilon]]
- 5. Families of Approximate Solutions with Prescribed Zero Set
- 6. The Linearized Operator about the Approximate Solution u
- 7. Existence of Ginzburg-Landau Vortices
- 8. Elliptic Operators in Weighted Sobolev Spaces
- 9. Generalized Pohozaev Formula for [roh]-Conformal Fields
- 10. The Role of Zeros in the Uniqueness Question
- 11. Solving Uniqueness Questions
- 12. Towards Jaffe and Taubes Conjectures.