论文标题
单位球中带有毛细管边界的平均曲率流动
A mean curvature type flow with capillary boundary in a unit ball
论文作者
论文摘要
在本文中，我们研究了单位球中具有毛细管边界的平均曲率流动。我们的流量保留了由高表面所包围的有界域的体积，并单调降低了能量功能$ e $。我们证明它具有长期存在和与球形帽的子融合。作为一种应用，我们解决了具有毛细管边界的高空弯曲面的等速度问题。
In this paper, we study a mean curvature type flow with capillary boundary in the unit ball. Our flow preserves the volume of the bounded domain enclosed by the hypersurface, and monotonically decreases an energy functional $E$. We show that it has the longtime existence and subconverges to spherical caps. As an application, we solve an isoperimetric problem for hypersurfaces with capillary boundary.
