Proof of the De Gennes formula for the superheating field in the weak κ limit
Bolley, Catherine ; Helffer, Bernard
Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997), p. 597-613 / Harvested from Numdam
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@article{AIHPC_1997__14_5_597_0,
     author = {Bolley, Catherine and Helffer, Bernard},
     title = {Proof of the De Gennes formula for the superheating field in the weak $\kappa $ limit},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {14},
     year = {1997},
     pages = {597-613},
     zbl = {0889.34010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_1997__14_5_597_0}
}

Bolley, Catherine; Helffer, Bernard. Proof of the De Gennes formula for the superheating field in the weak $\kappa $ limit. Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997) pp. 597-613. http://gdmltest.u-ga.fr/item/AIHPC_1997__14_5_597_0/

[1] C. Bolley and B. Helffer, Rigorous results on the Ginzburg-Landau models in a film submitted to an exterior parallel magnetic field, Nonlinear Studies, Part I: Vol. 3, n° 1, 1996, pp. 1-29, Part II: Vol. 3, n° 2, 1996, pp. 1-32. | MR 1396033 | Zbl 0857.34006

[2] C. Bolley and B. Helffer, Sur les asymptotiques des champs critiques pour l'équation de Ginzburg-Landau. Séminaire Equations aux dérivées partielles de l'Ecole Polytechnique, November 1993. | Numdam | Zbl 0877.35120

[3] C. Bolley and B. Helffer, Rigorous results for the Ginzburg-Landau equations associated to a superconducting film in the weak κ-limit, Reviews in Math. Physics, Vol. 8, n° 1, 1996, pp. 43-83. | MR 1372515 | Zbl 0864.35097

[4] C. Bolley and B. Helffer, Superheating in a film in the weak κ limit: numerical results and approximate models, Dec. 1994 (Part I to appear in M2 AN).

[5] C. Bolley and B. Helffer, In preparation.

[6] S.J. Chapman, Asymptotic analysis of the Ginzburg-Landau model of superconductivity: reduction to a free boundary model, Preprint, 1992. | MR 1359498

[7] V.P. Galaiko, Superheating critical field for superconductors of the first kind, Soviet Physics JETP, Vol. 27, n° 1, July 1968.

[8] P.G. De Gennes, Superconductivity, selected topics in solid state physics and theoretical Physics, Proc. of 8th Latin american school of physics, Caracas, 1966.

[9] V.L. Ginzburg, On the theory of superconductivity, Nuovo Cimento, Vol. 2, 1955, p. 1234. | Zbl 0067.23504

[10] V.L. Ginzburg, On the destruction and the onset of superconductivity in a magnetic field, Soviet Physics JETP, Vol. 7, 1958, p. 78. | Zbl 0099.44703

[11] V.L. Ginzburg and L.D. Landau, On the theory of superconductivity, Zh. Eksperim. i teor. Fiz., Vol. 20, 1950, pp. 1064-1082. English translation Men of Physics, L. D. LANDAU, I, Ed. by D. TerHaar, Pergamon oxford, 1965, pp. 138-167.

[12] S.P. Hastings, M.K. Kwong and W.C. Troy, The existence of multiple solutions for a Ginzburg-Landau type model of superconductivity, Preprint May 1995. | MR 1426209

[13] D. Saint James And P.G. De Gennes, Onset of superconductivity in decreasing fields, Phys. Lett., Vol. 7, 1963, p. 306.

[14] D. Saint James, G. Sarma and E.J. Thomas, Type II Superconductivity, Pergamon Press, 1969.

[15] H. Parr, Superconductive superheating field for finite κ, Z. Physik, Vol. B25, 1976, pp. 359-361.