A Priori Estimates for Ginzburg-Landau Solutions

作者: C. Bolley , B. Helffer

DOI: 10.1007/978-94-010-0307-0_16

关键词: Structure (category theory)Meissner effectA priori and a posterioriGinzburg landauMathematicsMathematical physicsSymmetric solutionSet (abstract data type)

摘要: We analyze some aspects of the structure set (f(0), A’(0)) where (f, A) is a solution Ginzburg-Landau equation for semi-infinite model. also how this model gives good information on behavior large film. emphasize about techniques priori estimates developed in [11], [12], [13], [6] and present new relating f(0) A’(0).

参考文章(26)
Man Kam Kwong, On the one-dimensional Ginsburg-Landau {BVP}s Differential and Integral Equations. ,vol. 8, pp. 1395- 1405 ,(1995)
Charles P. Poole, Ruslan Prozorov, Horacio A. Farach, Richard J. Creswick, 9 – Type II Superconductivity Superconductivity (Third Edition). pp. 355- 424 ,(2014) , 10.1016/B978-0-12-409509-0.00009-3
Amandine Aftalion, William C. Troy, On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity Physica D: Nonlinear Phenomena. ,vol. 132, pp. 214- 232 ,(1999) , 10.1016/S0167-2789(99)00026-3
Catherine Bolley, Françoise Foucher, Bernard Helffer, Superheating field for the Ginzburg–Landau equations in the case of a large bounded interval Journal of Mathematical Physics. ,vol. 41, pp. 7263- 7289 ,(2000) , 10.1063/1.1308074
G. Sarma, D. Saint‐James, E. J. Thomas, Peter Silverman, Type II superconductivity ,(1969)
Hugo Parr, Superconductive superheating field for finite κ European Physical Journal B. ,vol. 25, pp. 359- 361 ,(1976) , 10.1007/BF01315251
Andrew J. Dolgert, S. John Di Bartolo, Alan T. Dorsey, Superheating fields of superconductors: Asymptotic analysis and numerical results. Physical Review B. ,vol. 53, pp. 5650- 5660 ,(1996) , 10.1103/PHYSREVB.53.5650
Catherine Bolley, P.Del Castillo, Existence and uniqueness for the half-space Ginzburg–Landau model Nonlinear Analysis-theory Methods & Applications. ,vol. 47, pp. 135- 146 ,(2001) , 10.1016/S0362-546X(01)00163-8
Yisong Yang, The Ginzburg–Landau equations for superconducting films and the Meissner effect Journal of Mathematical Physics. ,vol. 31, pp. 1284- 1289 ,(1990) , 10.1063/1.528765