Sur les asymptotiques des champs critiques pour l'équation de Ginzburg-Landau

 Access to full text

 Full (PDF)

1. [1] F. Bethuel, H. Brézis, F. Helein: Asymptotics for the minimization of a Ginzburg-Landau functional. Calculus of variations and PDE, I, 123-148 (1993) Zbl0834.35014MR1261720
2. [2] F. Bethuel, H. Brézis, F. Helein: Ginzburg-Landau vortices. Preprint (Décembre 1992) et Birkhäuser (1993). Zbl0802.35142MR1269538
3. [3] F. Bethuel, T. Rivière: Vortices for a variational problem related to superconductivity, Preprint n° 9334, ENSCachan. Zbl0842.35119MR1340265
4. [4] C. Bolley: Solutions numériques de problèmes de bifurcation. Rairo Analyse numérique, Vol 14, n°2, p.127-147, (1980) Zbl0439.65087MR571311
5. [5] C. Bolley: Bifurcation dans les équations de Ginzburg-Landau des matériaux supraconducteurs soumis à un champ magnétique extérieur. Publication de l'ENSM-Nantes, (1988). 
6. [6] C. Bolley: , Vol. 25, n°3. p.307-335, (1991). Zbl0726.34031MR1103091
7. [7] C. Bolley: , Vol.26, n°2, p.235-287, (1992) Zbl0741.35085MR1153002
8. [8] C. Bolley, B. Helffer: An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting mate-rial Annales de l'institut Henri-Poincaré (Section Physique Théorique), (1993), Vol 58, n°2, p.189-233. Zbl0779.35104MR1217119
9. [9] C. Bolley, B. Helffer: Rigorous results on the Ginzburg-Landau equation Preprint de l'Ecole Centrale de Nantes, (1993). 
10. [10] C. Bolley, B. Helffer: Remarks on the superheating field for the Ginzburg-Landau equation Compte-rendus du colloque de Seattle, Juillet 1993. 
11. [11] C. Bolley, B. Helffer: En préparation (1993). 
12. [12] R.W. Carroll, A.J. Glick: On the Ginzburg-Landau equationsArch. Rational Mech. Anal.16, p.373 (1964) Zbl0137.46304MR164164
13. [13] S.J. Chapman: Nucleation of superconductivity in decreasing fields. Preprint (1993). Zbl0820.35124
14. [14] S.J. Chapman, S.D. Howison, J.B. McLeod and J.R. Ockendon: Normal-superconducting transitions in Ginzburg-Landau theory. Proc. Roy. Soc. Edin.119A, p.117-124 (1991). Zbl0732.34003MR1130600
15. [15] B. Dugnoille: Etude théorique et expérimentale des propriétés magnétiques des couches minces supraconductrices de type 1 et de κ faible, Thèse, Mons (1978) 
16. [16] V.P. Galaiko: Superheating critical field for superconductors of the first kind, Soviet Physics JETP, Vol. 27, n°1, July 1968. 
17. [17] P.G. de Gennes: Superconductivity: selected topics in solid state physics and theoretical Physics, Proc. of 8th Latin american school of physics, Caracas (1966). 
18. [18] V.L. Ginzburg: On the destruction and the onset of superconductivity in a magnetic field, Soviet Physics JETP7, 78 (1958). Zbl0099.44703
19. [19] V.L. Ginzburg, L.D. Landau: On the theory of superconductivityZh. Eksperim. i teor. Fiz.201950, pp.1064-1082English translation Men of Physics: L.D.Landau, I, Ed. by D.Ter Haar, Pergamonoxford, 1965, 138-167. 
20. [20] J. Matricon, D. Saint James: Superheating fields in superconductors, Physics Letters, Vol. 24A, n°5, Fév 1967, p.241-242. 
21. [21] F. Odeh: Existence and bifurcation theorems for the Ginzburg-Landau equations, Journal of mathematical physics, Volume 8, n°12, December 1967. 
22. [22] The Orsay group: in Quantum fluids (ed. D.F. Brewer), p.26, Amsterdam, North Holland (1966). 
23. [23] H. Parr: Superconductive superheating field for finite κ, Z.PhysikB25, p.359-361 (1976). 
24. [24] S. Wang, Y. Yang: Symmetric states in films, SIAM J. Appl. Math. vol.52 (1992), p 614. Zbl0758.35075MR1163796
25. [25] Y. Yang: Ginzburg-Landau eq. for films and the Meissner effect, J. Math. Phys. vol.31 (1990), p.1284. Zbl0702.76127MR1050488

1. Catherine Bolley, Bernard Helffer, Proof of the De Gennes formula for the superheating field in the weak κ limit
2. Catherine Bolley, Bernard Helffer, Superheating in a semi-infinite film in the weak $\kappa$ limit : numerical results and approximate models