Hypersurface with capillary boundary evolving by the mean curvature

：翁良俊（意大利Pisa大学）
：2024-12-27 16:00
：海韵园实验楼S106

报告人：翁良俊（意大利Pisa大学）

时  间：2024年12月27日16:00

地  点：海韵园实验楼S106

内容摘要:

In this talk, we discuss the volume- or wetting area-preserving flow whose speed is given by the mean curvature with a constrained term for hypersurfaces with capillary boundary in the half-space. The non-local type constrained term creates different difficulties, say for instance the comparison principle is no longer valid compared to local type constrained flow. We demonstrate that for any convex initial hypersurface with a capillary boundary, the flow exists for all time and smoothly converges to a spherical cap as time goes to infinity.

 

联系人：夏超