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math.AP2003★ 13 cited
The vortex dynamics of a Ginzburg-Landau system under pinning effect
Huaiyu Jian, Xingwang Xu
It is proved that the vortices are attracted by impurities or inhomogeities in the superconducting materials. The strong H^1-convergence for the corresponding Ginzburg-Landau syste…
math.AP2003
Deforming convex hypersurfaces to a hypersurface with prescribed harmonic mean curvature
Huaiyu Jian
A heat flow method is used to deform convex hypersurfaces in a ring domain to a hypersurface whose harmonic mean curvature is a prescribed function.