39 citations · 169 across the 38 of their papers we have counts for
49 papers
Formation and structural stability of nondegenerate neckpinches
Kyeongsu Choi, Panagiota Daskalopoulos, Natasa Sesum
In this paper, we study the formation, precise asymptotics, and structural stability of neckpinch singularities in mean curvature flow. Motivated by the static rigidity of cylindri…
Unique asymptotics of symmetric ancient ovals of Ricci flow
Panagiota Daskalopoulos, Wenkui Du, Natasa Sesum +1
We obtain the unique asymptotics of -invariant, compact, simply-connected, {factorwisely non-self-similar} -dimensional -solutions of the Ricci flow $(…
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…
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…
Classification of bubble-sheet ovals in
Beomjun Choi, Panagiota Daskalopoulos, Wenkui Du +2
In this paper, we prove that any bubble-sheet oval for the mean curvature flow in , up to scaling and rigid motion, either is the -…
Uniqueness of entire graphs evolving by Mean Curvature flow
Panagiota Daskalopoulos, Mariel Saez
In this paper we study the uniqueness of graphical mean curvature flow. We consider as initial conditions graphs of locally Lipschitz functions and prove that in the one dimensiona…