As on arXiv
Abstract
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 more circular during the evolution process. And finally, the curve converges to a finite circle in sense as time goes to infinity.
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Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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On an area-preserving inverse curvature flow for plane curves
Topics Volume-preserving & constrained flows, Other curvature flows · Same authors Zezhen Sun, Yuting Wu · Shared terms “area preserving”, “evolving curves”
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Two nonlocal inverse curvature flows of convex closed plane curves
Topics Other curvature flows · Same author Zezhen Sun · Shared terms “finite circle”, “closed convex”, “evolution process”
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Asymptotic circularity of immortal area-preserving curvature flows
Topics Volume-preserving & constrained flows, Other curvature flows · Shared terms “area preserving”, “preserving curve”, “planar curves”
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Shrinkers of the area-preserving curve-shortening flow: Existence and saddle-point property
Topics Volume-preserving & constrained flows · Shared terms “preserving curve”, “area preserving”, “circular”
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The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus
Topics Volume-preserving & constrained flows, Other curvature flows · Shared terms “area preserving”
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On length-preserving and area-preserving inverse curvature flows in the hyperbolic plane
Topics Volume-preserving & constrained flows, Other curvature flows · Shared terms “area preserving”, “curves converge”, “evolving curves”
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On length-preserving and area-preserving inverse curvature flow of planar curves with singularities
Topics Volume-preserving & constrained flows, Other curvature flows · Shared terms “area preserving”, “planar curves”
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Area-preserving curvature flow for open curves with general contact angles on skew lines
Topics Volume-preserving & constrained flows, Other curvature flows · Shared terms “area preserving”, “evolving curves”, “circular”
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Background reading
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