时间：2026年10月21日（周三）15:00-16:00
地点: E14-301
报告人：纽卡斯尔大学，James McCoy
报告题目：Surface diffusion flow of axially symmetric hypersurfaces with generalised Neumann boundary conditions
报告摘要：We consider evolving smooth, embedded, axially symmetric hypersurfaces whose boundaries intersect two parallel hyperplanes perpendicularly. We assume the initial hypersurface is sufficiently far from the axis and has axial curvature sufficiently small in $L^2$. We prove that the solution to the surface diffusion flow with generalised Neumann boundary conditions beginning from this initial data exists for all time, remains axially symmetric and at a distance away from the axis, with the smallness condition preserved. Moreover, the evolving hypersurface converges exponentially in the $C^\infty$-topology to a cylinder with the same axis and enclosing the same volume as the initial hypersurface.
