On a non-local perimeter-preserving curve evolution problem for convex plane curves
type: Item
instance of: scholarly article
title: On a non-local perimeter-preserving curve evolution problem for convex plane curves
zbMATH Open document ID: 1169.35033
author: Shengliang Pan
author: Juanna Yang
published in: Manuscripta Mathematica
publication date: 2009-02-26T00:00:00Z
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 53C44
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5520092
zbMATH Keywords: closed convex plane curves
zbMATH Keywords: final shape
MaRDI profile type: Publication
full work available at URL: s00229-008-0211-x
OpenAlex ID: W2056460021
cites work: Evolving convex curves
cites work: Volume-preserving mean curvature flow of rotationally symmetric surfaces
cites work: Q4753788
cites work: The curve shortening problem
cites work: Q3413423
cites work: Regularity theory for mean curvature flow
cites work: An isoperimetric inequality with applications to curve shortening
cites work: Curve shortening makes convex curves circular
cites work: Q3747277
cites work: The heat equation shrinking convex plane curves
cites work: The heat equation shrinks embedded plane curves to round points
cites work: Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
cites work: Flow by mean curvature of convex surfaces into spheres
cites work: The volume preserving mean curvature flow.
cites work: Curve shortening in a Riemannian manifold
cites work: A Singular Example for the Averaged Mean Curvature Flow
cites work: Self-intersections for the surface diffusion and the volume-preserving mean curvature flow
cites work: The surface area preserving mean curvature flow
cites work: Mixed volume preserving curvature flows
cites work: Bonnesen-Style Isoperimetric Inequalities
cites work: Q4514741
cites work: Q5287551
cites work: On the formation of singularities in the curve expanding flow
cites work: Asymptotic closeness to limiting shapes for expanding embedded plane curves
cites work: Deforming a hypersurface by its Gauss-Kronecker curvature
cites work: Convex curves moving homothetically by negative powers of their curvature
cites work: Q4418799
cites work: Q4783632
DOI: 10.1007/S00229-008-0211-X
description: scientific article; zbMATH DE number 5520092