39 citations · 169 across the 38 of their papers we have counts for
31 papers · 1 filter
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 $(…
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…
Uniqueness of compact ancient solutions to the higher dimensional Ricci flow
Simon Brendle, Panagiota Daskalopoulos, Keaton Naff +1
In this paper, we study the classification of -noncollapsed ancient solutions to n-dimensional Ricci flow on , extending the result in [13] to higher dimensions. We prove t…
Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder
Beomjun Choi, Kyeongsu Choi, Panagiota Daskalopoulos
We address the classification of ancient solutions to the Gauss curvature flow under the assumption that the solutions are contained in a cylinder of bounded cross section. For eac…