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The vortex dynamics of a Ginzburg-Landau system under pinning effect

Huaiyu Jian, Xingwang Xu

math.AParXiv:math/0301097

Abstract

It is proved that the vortices are attracted by impurities or inhomogeities in the superconducting materials. The strong H1-convergence for the corresponding Ginzburg-Landau system is also proved.

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