Deforming convex hypersurfaces to a hypersurface with prescribed harmonic mean curvature
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.
math.AP↗
arXiv subjects
Huaiyu Jian
Publications and source records attributed to Huaiyu Jian.
The vortex dynamics of a Ginzburg-Landau system under pinning effect
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 system is also proved.
math.AP↗