寇艳蕾, 丁时进. 各向异性Ginzburg-Landau超导模型整体极小元的注记[J]. 华南师范大学学报(自然科学版), 2008, 1(4): 7-16 .
引用本文: 寇艳蕾, 丁时进. 各向异性Ginzburg-Landau超导模型整体极小元的注记[J]. 华南师范大学学报(自然科学版), 2008, 1(4): 7-16 .
THE GLOBAL MINIMIZERS OF ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 7-16 .
Citation: THE GLOBAL MINIMIZERS OF ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 7-16 .

各向异性Ginzburg-Landau超导模型整体极小元的注记

THE GLOBAL MINIMIZERS OF ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

  • 摘要: 研究当磁场h_ex小于第一临界磁场H_C_1时,各向异性Ginzburg-Landau超导模型整体极小元的存在性了;找到了存在无涡漩的整体极小元;当H_c_1h_exH_c_2时,证明了涡漩的密度等于外加磁场.

     

    Abstract: The existence of the global minimizers of the Ginzburg-Landau functional for an anisotropic superconducting sample in a magnetic field h_ex below the first critical field H_C_1 is proved. It is shown that there exists a vortex-less solution coincide with the solution found by the authors in a related paper, and that the density of the vortices is relevant to the applied field as H_c_1h_exH_c_2.

     

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