On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case
Annales de l'I.H.P. Analyse non linéaire (1999)
- Volume: 16, Issue: 6, page 747-772
- ISSN: 0294-1449
Access Full Article
topHow to cite
topAftalion, Amandine. "On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case." Annales de l'I.H.P. Analyse non linéaire 16.6 (1999): 747-772. <http://eudml.org/doc/78482>.
@article{Aftalion1999,
author = {Aftalion, Amandine},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Ginzburg-Landau parameter; Ginzburg-Landau energy; asymptotic behaviour for large of minimizers},
language = {eng},
number = {6},
pages = {747-772},
publisher = {Gauthier-Villars},
title = {On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case},
url = {http://eudml.org/doc/78482},
volume = {16},
year = {1999},
}
TY - JOUR
AU - Aftalion, Amandine
TI - On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1999
PB - Gauthier-Villars
VL - 16
IS - 6
SP - 747
EP - 772
LA - eng
KW - Ginzburg-Landau parameter; Ginzburg-Landau energy; asymptotic behaviour for large of minimizers
UR - http://eudml.org/doc/78482
ER -
References
top- [1] A. Aftalion, On the minimizers of the Ginzburg-Landau energy for high kappa: the one-dimensional case, EJAM, Vol. 8, 1997, pp. 331-345. Zbl0886.34019MR1471596
- [2] P. Baumann, D. Phillips and Q. Tang, Stable nucleation for the Ginzburg-Landau system with an applied magnetic field, Preprint, 1996.
- [3] H. Berestycki, A. Bonnet and S.J. Chapman, A semi-elliptic system arising in the theory of superconductivity, Comm. Appl. Nonlinear Anal., Vol. 1, 3, 1994, pp. 1-21. Zbl0866.35030MR1295490
- [4] M.S. Berger and Y.Y. Chen, Symmetric Vortices for the Ginzberg-Landau Equations of Superconductivity and the Nonlinear Desingularisation Phenomenon, J. Func. Anal., Vol. 82, 1989, pp. 259-295. Zbl0685.46051MR987294
- [5] F. Bethuel, H. Brezis and F. Helein, Ginzburg-Landau Vortices, Birkhäuser, 1994. Zbl0802.35142MR1269538
- [6] C. Bolley, Solutions numériques de problèmes de bifurcation, RAIRO Anal. Num., Vol. 14, 1980, pp. 127-147. Zbl0439.65087MR571311
- [7] S.J. Chapman, Nucleation of superconductivity in decreasing fields I, Europ. J. Appl. Math., Vol. 5, 1994, pp. 449-468. Zbl0820.35124MR1309734
- [8] S.J. Chapman, Nucleation of superconductivity in decreasing fields II, Europ. J. Appl. Math., Vol. 5, 1994, pp. 469-494. Zbl0820.35124MR1309734
- [9] S.J. Chapman, A mean-field model of superconducting vortices in three dimensions, SIAM J. Appl. Math., Vol. 55, 1995, pp. 1259-1274. Zbl0836.76014MR1349309
- [10] S.J. Chapman, Motion of vortices in type II superconductors, SIAM J. Appl. Math., Vol. 55, 1995, pp. 1275-1296. Zbl0836.76015MR1349310
- [11] S.J. Chapman, S.D. Howison and J.R. Ockendon, Macroscopic models of superconductivity, SIAM Review, Vol. 34, 4, 1992, pp. 529-560. Zbl0769.73068MR1193011
- [12] Y.Y. Chen, Nonsymmetric vortices for the Ginzberg-Landau equations on the bounded domain, J. Math. Phys., Vol. 30, 1989, pp. 1942-1950. Zbl0697.35117MR1006155
- [13] Q. Du, M.D. Gunzburger and J.S. Peterson, Analysis and approximation of the Ginzburg-Landau model of superconductivity, SIAM Review, Vol. 34, 1, 1992, pp. 54-81. Zbl0787.65091MR1156289
- [14] C.M. Elliot, H. Matano and Tang Qi, Zeros of a complex Ginzburg-Landau order parameter with applications to superconductivity, Europ. J. Appl. Math., Vol. 5, 1994, pp. 431-448. Zbl0817.35112MR1309733
- [15] D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd edition, Springer, Berlin, 1983. Zbl0562.35001MR737190
- [16] V.L. Ginzburg and L.D. Landau, On the theory of superconductivity, Soviet Phys. JETP, Vol. 20, 1950, p. 1064.
- [17] H.G. Kaper and M.K. Kwong, Uniqueness of non-negative solutions of semilinear elliptic equations, Nonlinear Diffusion Equations and Their Equilibrium States, II, W. M. Ni, L. A. Peletier and J. Serrin (eds.), MSRI Conf. Proc., Springer-Verlag, New York, 1988, pp. 1-17. Zbl0662.35037MR956078
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.