19 citations · 19 across the 5 of their papers we have counts for
5 papers
Mean curvature flow near a peanut solution
Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum
It was shown by Angenent, Altschuler and Giga, and by Angenent and Velazquez that there exist closed mean curvature flow solutions that extinct to a point in finite time, without e…
Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions
Sigurd B. Angenent, Dan Knopf
Regarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and…
Which shapes can appear in a Curve Shortening Flow Singularity?
Sigurd Angenent, Evan Patrick Davis, Ellie DeCleene +7
We study possible tangles that can occur in singularities of solutions to plane Curve Shortening Flow. We exhibit solutions in which more complicated tangles with more than one sel…
Dynamics of Convex Mean Curvature Flow
Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum
There is an extensive and growing body of work analyzing convex ancient solutions to Mean Curvature Flow (MCF), or equivalently of Rescaled Mean Curvature Flow (RMCF). The goal of…
The Zoo of Solitons for Curve Shortening in
Dylan J. Altschuler, Steven J. Altschuler, Sigurd B. Angenent +1
We provide a detailed description of solutions of Curve Shortening in that are invariant under some one-parameter symmetry group of the equation, paying particular attention…