一类各向异性Ginzburg-Landau超导模型的涡漩

VORTICES OF AN ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

当磁场hex充分接近第一临界磁场HC1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.

The global minimizers and the vortex structure of an anisotropic superconducting model are discussed.It is proved that for fields hex close enough to the lower critical magnetic field HC1,the global minimizer of the Ginzburg-Landau functional has a bounded number of vortices independently from the Ginzburg-Landau parameter.The locations of these vortices are also given.