2 citations · 4 across the 3 of their papers we have counts for
4 papers
The evolution of Jordan curves on by curve shortening flow
Joseph Lauer
In this paper we prove that if is a Jordan curve on then there is a smooth curve shortening flow defined on which converges to in as…
The level-set flow of the topologist's sine curve is smooth
Casey Lam, Joseph Lauer
In this note we prove that the level-set flow of the topologist's sine curve is a smooth closed curve. In previous work it was shown by the second author that under level-set flow,…
A new length estimate for curve shortening flow and low regularity initial data
Joseph Lauer
In this paper we introduce a geometric quantity, the -multiplicity, that controls the length of a smooth curve as it evolves by curve shortening flow. The length estimates we ob…
Convergence of mean curvature flows with surgery
Joseph Lauer
Huisken and Sinestrari have recently defined a surgery process for mean curvature flow when the initial data is a two-convex hypersurface. The process depends on a parameter H. Its…