@article{M2AN_1998__32_1_25_0,
author = {Chen, Zhiming and Elliott, C. M. and Qi, Tang},
title = {Justification of a two dimensional evolutionary {Ginzburg-Landau} superconductivity model},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {25--50},
year = {1998},
publisher = {Elsevier},
volume = {32},
number = {1},
mrnumber = {1619592},
zbl = {0905.35084},
language = {en},
url = {https://www.numdam.org/item/M2AN_1998__32_1_25_0/}
}
TY - JOUR AU - Chen, Zhiming AU - Elliott, C. M. AU - Qi, Tang TI - Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1998 SP - 25 EP - 50 VL - 32 IS - 1 PB - Elsevier UR - https://www.numdam.org/item/M2AN_1998__32_1_25_0/ LA - en ID - M2AN_1998__32_1_25_0 ER -
%0 Journal Article %A Chen, Zhiming %A Elliott, C. M. %A Qi, Tang %T Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model %J ESAIM: Modélisation mathématique et analyse numérique %D 1998 %P 25-50 %V 32 %N 1 %I Elsevier %U https://www.numdam.org/item/M2AN_1998__32_1_25_0/ %G en %F M2AN_1998__32_1_25_0
Chen, Zhiming; Elliott, C. M.; Qi, Tang. Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model. ESAIM: Modélisation mathématique et analyse numérique, Tome 32 (1998) no. 1, pp. 25-50. https://www.numdam.org/item/M2AN_1998__32_1_25_0/
[CHO 92] , and ; Macroscopic models for superconductivity; SIAM Review, 34 (1990), 529-560. | Zbl | MR
[CH 95] and ; Numerical studies of a non-stationary Ginzburg-Landau model for superconductivity; Adv. Math. Sci. Appl. 5 (1995), 363-389. | Zbl | MR
[CHL 93] , and ; On a non-stationary Ginzburg-Landau superconductivity model; Math. Meth. Appl. Sci., 16 (1993), 855-875. | Zbl | MR
[Du 94] ; Global existence and uniqueness of solutions of the time-dependent Ginzburg-Landau model for superconductivity; Applicable Analysis 52 (1994), 1-17. | Zbl | MR
[DG 93] and ; A model for superconducting thin films having variable thickness; to appear. | Zbl | MR
[DGP 92] , and ; Analysis and approximation of the Ginzburg-Landau model of superconductivity; Siam Review, 34 (1992), 54-81. | Zbl | MR
[DL 76] , ; Inequalities in Mechanics and Physics; Springer, 1976. | Zbl | MR
[EMT 93] , and ; Zeros of a complex Ginzburg-Landau order parameter with applications to superconductivity; Eur. J. Appl. Math., Vol. 5, No 7 (1994), 437-448. | Zbl | MR
[GE 68] , ; Generalisation of the Ginzburg-Landau equations for non-stationary problems in the case of alloys with paramagnetic impurities; Soviet Phys. J.E.T.P., 27 (1968), 328-334.
[G 85] ; Elliptic Problems in Nonsmooth Domains; Pitman, 1985. | Zbl | MR
[GR 86] and , Finite Element Methods for Navier-Stokes Equations; Springer-Verlag, 1986. | Zbl | MR
[JT 80] and , Vortices and Monopoles; Birkhauser, 1980. | Zbl | MR
[LT 93] and , Asymptotic behavior of the solutions of an evolutionary Ginzburg-Landau superconductivity model; J. Math. Anal. Appl., Vol. 195 (1995), 92-107. | Zbl | MR
[Mo 66] , Multiple Integrals in the Calculus of Variations; Springer, 1966. | Zbl
[MTY 93] , and ; On a new class of elastic deformations not allowing for cavitations, Ann. Inst. H. Poincaré, Analyse Non Linear, Vol. 11 (1994), 217-243. | Zbl | MR | Numdam
[Ne 67] , Les Méthodes Directes en Théorie des Equations Elliptique; Masson, 1967. | MR
[T 95] , On a evolutionary system of Ginzburg-Landau equations with fixed total magnetic flux; Commun in Partial Differential Equations, 20 (1 and 2) (1995), 1-36. | Zbl | MR
[TW 95] and , Time dependent Ginzburg-Landau equations of superconductivity, Physica D, Vol. 8 (1995), 139-166. | Zbl | MR





