@article{AIHPC_2002__19_3_281_0, author = {Alama, S. and Berlinsky, A. J. and Bronsard, L.}, title = {Minimizers of the {Lawrence-Doniach} energy in the small-coupling limit : finite width samples in a parallel field}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {281--312}, publisher = {Elsevier}, volume = {19}, number = {3}, year = {2002}, zbl = {1011.82032}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_2002__19_3_281_0/} }
TY - JOUR AU - Alama, S. AU - Berlinsky, A. J. AU - Bronsard, L. TI - Minimizers of the Lawrence-Doniach energy in the small-coupling limit : finite width samples in a parallel field JO - Annales de l'I.H.P. Analyse non linéaire PY - 2002 SP - 281 EP - 312 VL - 19 IS - 3 PB - Elsevier UR - http://archive.numdam.org/item/AIHPC_2002__19_3_281_0/ LA - en ID - AIHPC_2002__19_3_281_0 ER -
%0 Journal Article %A Alama, S. %A Berlinsky, A. J. %A Bronsard, L. %T Minimizers of the Lawrence-Doniach energy in the small-coupling limit : finite width samples in a parallel field %J Annales de l'I.H.P. Analyse non linéaire %D 2002 %P 281-312 %V 19 %N 3 %I Elsevier %U http://archive.numdam.org/item/AIHPC_2002__19_3_281_0/ %G en %F AIHPC_2002__19_3_281_0
Alama, S.; Berlinsky, A. J.; Bronsard, L. Minimizers of the Lawrence-Doniach energy in the small-coupling limit : finite width samples in a parallel field. Annales de l'I.H.P. Analyse non linéaire, Tome 19 (2002) no. 3, pp. 281-312. http://archive.numdam.org/item/AIHPC_2002__19_3_281_0/
[1] Periodic vortex lattices for the Lawrence-Doniach model of layered superconductors in a parallel field, preprint, 2000, available on the preprint archive http://xxx.lanl.gov. | MR
, , ,[2] Homoclinics: Poincaré-Melnikov type results via a variational approach, Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (1998) 233-252. | Numdam | MR | Zbl
, ,[3] Symmetry breaking in Hamiltonian systems, J. Differential Equations 67 (1987) 165-184. | MR | Zbl
, , ,[4] On a variational problem with lack of compactness: the topological effect of the critical points at infinity, Calc. Var. Partial Differential Equations 3 (1995) 67-93. | MR | Zbl
, , ,[5] Ginzburg-Landau Vortices, Birkhauser, Boston, 1994. | MR | Zbl
, , ,[6] Vortices for a variational problem related to superconductivity, Ann. Inst. H. Poincaré Anal. Non Linéaire 12 (1995) 243-303. | Numdam | MR | Zbl
, ,[7] Magnetic properties of layered superconductors with weak interaction between the layers, Sov. Phys. JETP 37 (1973) 1133-1136.
,[8] Vortex lattice of highly anisotropic layered superconductors in strong, parallel magnetic fields, Phys. Rev. B44 (1991) 10234-10238.
, ,[9] On the Lawrence-Doniach and anisotropic Ginzburg-Landau models for layered superconductors, SIAM J. Appl. Math. 55 (1995) 156-174. | MR | Zbl
, , ,[10] Viscous flux motion in a Josephson-coupled layer model of high-Tc superconductors, Phys. Rev. B42 (1990) 6209-6216.
, ,[11] Local minimizers for the Ginzburg-Landau energy, Math. Z. 225 (1997) 671-684. | MR | Zbl
, ,[12] The breakdown of superconductivity due to strong fields for the Ginzburg-Landau model, SIAM J. Math. Anal. 30 (1999) 341-359. | MR | Zbl
, ,[13] Elliptic Problems in Nonsmooth Domains, Pitman Advanced Publishing Program, Boston, 1985. | MR | Zbl
,[14] Multipeak solutions for a semilinear Neumann problem, Duke Math. J. 84 (1996) 739-769. | MR | Zbl
,[15] How anisotropic are the cuprate high Tc superconductors?, Comments Cond. Mat. Phys. 16 (1992) 89-111.
,[16] Dissipation in highly anisotropic superconductors, Phys. Rev. Lett. 64 (1990) 1063-1066.
, , , ,[17] S. Kuplevakhsky, Microscopic theory of weakly couple superconducting multilayers in an external magnetic field, preprint cond-mat/9812277.
[18] Proceedings of the Twelfth International Conference on Low Temperature Physics, E. Kanda (Ed.), Academic Press of Japan, Kyoto, 1971, p. 361.
, ,[19] The Dirichlet problem for singularly perturbed elliptic equations, Comm. Pure Appl. Math. 51 (1998) 1445-1490. | MR | Zbl
, ,[20] 14, American Mathematical Society, Providence, RI, 1997. | MR | Zbl
, , Analysis Graduate Studies in Mathematics,[21] Asymptotics for thin superconducting rings, J. Math. Pures Appl., série 9 77 (1998) 801-820. | MR | Zbl
, ,[22] Blow-up points of solutions to elliptic equations with limiting nonlinearity, Differential Integral Equations 4 (1991) 1155-1167. | MR | Zbl
,[23] Theory of vortices in weakly-Josephson-coupled layered superconductors, Phys. Rev. B42 (1990) 10172-10177.
,[24] Introduction to Superconductivity, Mc Graw-Hill, New York, 1996.
,[25] On the interior spike solutions for some singular perturbation problems, Proc. Roy. Soc. Edinburgh, Sect. A 128 (1998) 849-874. | MR | Zbl
,