@article{AIHPC_1998__15_3_371_0, author = {Bronsard, Lia and Stoth, Barbara}, title = {The {Ginzburg-Landau} equations of superconductivity and the one-phase {Stefan} problem}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {371--397}, publisher = {Gauthier-Villars}, volume = {15}, number = {3}, year = {1998}, mrnumber = {1629357}, zbl = {0904.35083}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1998__15_3_371_0/} }
TY - JOUR AU - Bronsard, Lia AU - Stoth, Barbara TI - The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem JO - Annales de l'I.H.P. Analyse non linéaire PY - 1998 SP - 371 EP - 397 VL - 15 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1998__15_3_371_0/ LA - en ID - AIHPC_1998__15_3_371_0 ER -
%0 Journal Article %A Bronsard, Lia %A Stoth, Barbara %T The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem %J Annales de l'I.H.P. Analyse non linéaire %D 1998 %P 371-397 %V 15 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1998__15_3_371_0/ %G en %F AIHPC_1998__15_3_371_0
Bronsard, Lia; Stoth, Barbara. The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem. Annales de l'I.H.P. Analyse non linéaire, Tome 15 (1998) no. 3, pp. 371-397. http://archive.numdam.org/item/AIHPC_1998__15_3_371_0/
[BCS] Phys. Rev., Vol. 108, 1957, pp. 1175.
, and ,[BS] The Singular Limit of a Vector-Valued Reaction-Diffusion Process, preprint, 1995. | MR
and ,[C] Asymptotic Analysis of the Ginzburg-Landau Model of Superconductivity: Reduction to a Free Boundary Model, preprint, 1992.
,[CHO] Macroscopic Models for Superconductivity, SIAM Rev., Vol. 34, 1992, pp. 529-560. | MR | Zbl
, and ,[CHL] On a Non-Stationary Ginzburg-Landau Superconductivity Model, Math. Meth. Appl. Scie., Vol. 16, 1993, pp. 855-875. | Zbl
, and ,[D] Global Existence and Uniqueness of Solutions of the Time-dependent Ginzburg-Landau Model for Superconductivity, Appl. Anal., Vol. 53, 1994, pp. 1-18. | MR | Zbl
,[DGP] Analysis and Approximation of the Ginzburg-Landau Model of Superconductivity, SIAM Rev., Vol. 34, 1992, pp. 54-81. | MR | Zbl
, and ,[ET] Existence Theorems for a Evolutionary Superconductivity Model, preprint, 1992.
and ,[FH] A free boundary problem arising in superconductor modeling, Asympt. Anal., Vol. 6, 1992, pp. 109-133. | MR | Zbl
and ,[GL] On the theory of superconductivity, Soviet Phys., J.E.T.P., Vol. 20, 1950, pp. 1064.
and ,[G] Microscopic derivation of the Ginzburg-Landau equations in the theory of superconductivity, Soviet Phys. J.E.T.P. Vol. 9, 1959, p. 1364. | Zbl
,[GE] Generalisation of the Ginzburg-Landau equations for non-stationary problems in the case of alloys with paramagnetic impurities, Soviet Phys. J.E.T.P., Vol. 27, 1968, pp. 328.
and ,[K] Propagation of a magnetic field into a superconductor, Phys. Rev., Vol. 111, 1958, pp. 1497. | MR
,[L] Quelques méthodes de resolution des problèmes aux limites non linéaires, Dunod, Gauthier-Villars, Paris, 1968. | MR | Zbl
,[MO] Naturwissenschaften, Vol. 21, 1933, p. 787.
and ,[M] The Stefan Problem, De Gruyter Expositions in Mathematics, Berlin, 1992, New York. | MR | Zbl
,[O] A method of solution for the general Stefan problem, Dokl. Akad. Nauk SSSR, Vol. 135, 1960, pp. 1054-1057. | MR
,[S] A sharp interface limit of the phase field equations; Part I: 1-D, Part II: Axisymmetric, preprint, 1992, to appear in Europ. J. Appl. Math. | MR | Zbl
,