3 papers
math.DG2022
Singular set and curvature blow-up rate of the level set flow
Siao-Hao Guo
Under certain conditions such as the -convexity, a singularity of the level set flow is of type I (in the sense that the rate of curvature blow-up is constrained before and afte…
math.DG2019
Asymptotic Behavior and Stability of Mean Curvature Flow with a Conical End
Siao-Hao Guo
If the initial hypersurface of an immortal mean curvature flow is asymptotic to a regular cone whose entropy is small, the flow will become asymptotically self-expanding. Moreover,…
math.DG2018
Extension of two-dimensional mean curvature flow with free boundary
Siao-Hao Guo
Given a mean curvature flow of compact, embedded surfaces satisfying Neumann free boundary condition on a mean convex, smooth support surface in 3-dimensional Euclidean space…