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math.DG2025
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…
math.DG2025
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…