Mean curvature flow with free boundary - Type 2 singularities
Glen Wheeler, Valentina-Mira Wheeler
TL;DR
This paper investigates the mean curvature flow with free boundary conditions on symmetric double cones, identifying conditions for Type 2 singularities and showing Type 0 singularities occur only at infinity.
Contribution
It provides sufficient conditions for Type 2 singularities in mean curvature flow with free boundary and characterizes the occurrence of Type 0 singularities.
Findings
Type 2 singularities occur under certain conditions
Type 0 singularities only occur at infinity
Conditions for singularity development are established
Abstract
In this paper we give sufficient conditions that guarantee the meancurvature flow with free boundary on an embedded rotationally symmetric double cone develops a Type 2 curvature singularity. We additionally prove that Type 0 singularities may only occur at infinity.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.