4 papers · 1 filter
On an area-preserving inverse curvature flow for plane curves
Zezhen Sun, Yuting Wu
In this paper, we study a -type area-preserving non-local flow of convex closed plane curves for any . We show that the flow exists globally, the length of evolving c…
On a non-local area-preserving curve flow
Zezhen Sun, Yuting Wu
In this paper, we study a new area-preserving curvature flow for closed convex planar curves. This flow will decrease the length of the evolving curve and make the curve more and m…
Deforming convex curves with constant anisotropic length
Zezhen Sun
In this paper, we study a curve flow which preserves the anisotropic length of the evolving curve, and show that for any convex closed initial curve, the flow exists for all time a…
Two nonlocal inverse curvature flows of convex closed plane curves
Zezhen Sun
In this paper we introduce two -type () curvature flows for closed convex planar curves. Along the flows the length of the curve is decreasing while the enclosed ar…