寇艳蕾. 一类各向异性Ginzburg-Landau超导模型的涡旋[J]. 华南师范大学学报(自然科学版), 2011, (2).
引用本文: 寇艳蕾. 一类各向异性Ginzburg-Landau超导模型的涡旋[J]. 华南师范大学学报(自然科学版), 2011, (2).
VORTICES OF AN ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).
Citation: VORTICES OF AN ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).

一类各向异性Ginzburg-Landau超导模型的涡旋

VORTICES OF AN ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

  • 摘要: 当磁场h_ex充分接近第一临界磁场H_C_1时,证明了各向异性Ginzburg-Landau超导模型的整体极小元有有限个涡漩。并且说明这些涡旋的具体位置。

     

    Abstract: The global minimizers and the vortex structure of an anisotropic superconducting thin film are discussed. It is proved that for fields close enough to the lower critical magnetic field H_C_1, the global minimizer of the Ginzburg-Landau functional has a bounded number of vortices independently from the Ginzburg-Landau parameter. The location of the vortices is also given.

     

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