An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material

C. Bolley; B. Helffer

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 58, Issue: 2, page 189-233
  • ISSN: 0246-0211

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Bolley, C., and Helffer, B.. "An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material." Annales de l'I.H.P. Physique théorique 58.2 (1993): 189-233. <http://eudml.org/doc/76603>.

@article{Bolley1993,
author = {Bolley, C., Helffer, B.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Ginzburg-Landau equations; superconducting film; external magnetic field; intensity},
language = {eng},
number = {2},
pages = {189-233},
publisher = {Gauthier-Villars},
title = {An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material},
url = {http://eudml.org/doc/76603},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Bolley, C.
AU - Helffer, B.
TI - An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 58
IS - 2
SP - 189
EP - 233
LA - eng
KW - Ginzburg-Landau equations; superconducting film; external magnetic field; intensity
UR - http://eudml.org/doc/76603
ER -

References

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  1. [Bo] C. Bolley, [1] Familles de branches de bifurcations dans les équations de Ginzburg-Landau, M2 AN, Vol. 25, n° 3, 1991, pp. 307-335. [2] Modélisation du champ de retard à la condensation d'un supraconducteur par un problème de bifurcation, M2 AN, Vol. 26, n° 2, 1992, pp. 235-287. Zbl0726.34031MR1103091
  2. [Da-He] M. Dauge and B. Helffer, Eigenvalues variation I, Neumann Problem for Sturm-Liouville operators, Journal of Differential equations (to appear). Zbl0784.34021MR1231468
  3. [Du] B. Dugnoille, Étude théorique et expérimentale des propriétés magnétiques des couches minces supraconductrices de type 1 et de κ faible, Thèse, Mons, 1978. 
  4. [Ge-Ja] P.G. De Gennes and D. St James, Phys. Lett., Vol. 7, 1963, p. 306. 
  5. [Gi] V.L. Ginzburg, Soviet Physics J.E.T.P., Vol. 7, 1958, p. 78. 
  6. [Gu] M. Guillemot-Teissier, Application des méthodes variationnelles à l'étude spectrale d'opérateurs dégénérés, C. R. Acad. Sci. Paris, T. 277, Octobre 1973, pp. 739- 742. Zbl0279.35063MR336113
  7. [He-Sj] B. Helffer and J. Sjöstrand, Multiple wells in the semiclassical limit I, P.D.E., Vol. 9 (4), 1984. Zbl0546.35053MR740094
  8. [Ka] T. Kato, Perturbation theory for linear Operators, Springer Verlag, Berlin, Heidelberg, New York, 1966. Zbl0148.12601MR203473
  9. [Re-Si] M. Reed and B. Simon, Methods of modern mathematical physics. IV. Analysis of operators. Academic, London, 1978. Zbl0401.47001MR493421
  10. [Si] Y. Sibuya, Global theory of a second linear differential equation with a polynomial coefficient, North-Holland, 1975. MR486867

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