Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part II

Communications in Contemporary Mathematics

Volumn 1, Issue 3, 1999, Pages 295-333

  Serfaty, Sylvia ^a,b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037915519     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199799000134     Document Type: Article

References (16)

1. A. Abrikosov, On the magnetic properties of superconductors of the second type, Soviet Phys. JETP 5 (1957) 1174-1182.
2. L. Almeida and F. Bethuel, Topological methods for the Ginzburg-Landau equations, J. Math. Pures Appl. 77 (1998) 1-49.
3. F. Almgren, Browder and E. H. Lieb, Coarea, liquid crystals and minimal surfaces, in Springer Lecture Notes (1988) 1306.
4. F. Bethuel, H. Brezis and F. Hélein, Ginzburg-Landau Vortices, Birkhäuser (1994).
5. F. Bethuel, H. Brezis and F. Hélein, Asymptotics for the minimization of a Ginzburg-Landau functional, Calculus of Variations and P.D.E's 1 (1993) 123-148.
6. H. Brezis, J.-M. Coron and E. H. Lieb, Harmonic maps with defects, Commun. Math. Phys. 107 (1986) 649-705.
7. F. Bethuel and T. Rivière, Vortices for a Variational Problem Related to Superconductivity, Annales IHP, Analyse non linéaire 12 (1995) 243-303.
8. F. Bethuel and T. Rivière, Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité, Séminaire E.D.P de l'École Polytechnique, exposé XVI (1994).
9. F. Bethuel and J.-C. Saut, Stationary Waves for the Gross-Pitaevskii Equation, to appear.
10. S. Gueron and I. Shafrir, On a discrete variational problem involving interacting particles, preprint.
11. S. Serfaty, Solutions stables de l'équation de Ginzburg-Landau en présence de champ magnétique, Note aux C.R.A.S., tome 326 n o8, série I (1998) 949-954.
12. S. Serfaty, Stable configurations in superconductivity: uniqueness, multiplicity and Vortex-Nucleation, to appear in Archive for Rat. Mech. Anal.
13. S. Serfaty, Sur l'équation de Ginzburg-Landau avec champ magnétique, Proc. "Jour nées Équations aux dérivées partielles, Saint-Jean-de-Monts" (1998).
14. E. Sandier and S. Serfaty, Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field, to appear in Annales IHP, Analyse non linéaire.
15. E. Sandier and S. Serfaty, On the energy of type-II superconductors in the mixed phase, preprint.
16. D. Tilley and J. Tilley, Superfluidity and Superconductivity, 2nd ed., Adam Hilger Ltd., Bristol (1986).