31 citations · 33 across the 2 of their papers we have counts for
2 papers
math.AP2017★ 2 cited
Evolution of Locally Convex Closed Curves in Nonlocal Curvature Flows
Natasa Sesum, Dong-Ho Tsai, Xiao-Liu Wang
We provide sufficient conditions on an initial curve for the area preserving and the length preserving curvature flows of curves in a plane, to develop a singularity at some finite…
math.DG2014★ 31 cited
On Area-preserving and Length-preserving Nonlocal Flow of Convex Closed Plane Curves
Dong-Ho Tsai, Xiao-Liu Wang
For any we study -type length-preserving and area-preserving nonlocal flow of convex closed plane curves and show that these two types of flow evolve such curves into r…