各向异性Ginzburg-Landau超导模型的整体极小元  

THE GLOBAL MINIMIZERS OF ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

作　　者：寇艳蕾[1] 丁时进[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2008年第4期7-16,共10页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10471045);国家973项目(2006CB805902);广东省自然科学基金资助项目(031495)

摘　　要：研究当磁场hex小于第一临界磁场HC1时,各向异性Ginzburg-Landau超导模型整体极小元的存在性.找到了存在无涡漩的整体极小元.当Hc1《hex《Hc2时,证明了涡漩的密度等于外加磁场.The existence of the global minimizers of the Ginzburg - Landau functional for an anisotropic superconducting sample in a magnetic field hex below the first critical field Hc, is proved. It is shown that there exists a vortex -less global solution, and that the density of the vortices is relevant to the applied field as Hc1≤hex≤Hc2.

关 键 词：临界磁场 涡漩 各向异性Ginzburg—Landau模型 

分 类 号：O175.25[理学—数学]