Asymptotic shape of cusp singularities in curve shortening
type: Item
instance of: scholarly article
title: Asymptotic shape of cusp singularities in curve shortening
zbMATH Open document ID: 0829.35058
DOI: 10.1215/S0012-7094-95-07704-7
published in: Duke Mathematical Journal
publication date: 1995-05-15T00:00:00Z
review text: The paper deals with the smooth solution \(\gamma (t)\), \(t \in (0,T)\) of curve shortening which becomes singular at time \(t = T\). To this end the authors find the asymptotics for singular solutions of the equation \(k_t = k^2 (k_{\theta \theta} + k)\), where \(k (\theta + 2m \pi, t) \equiv k (\theta, t)\), \(k (\theta,t)\) is a curvature of \(\gamma\).
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 755405
zbMATH Keywords: cusp singularities
zbMATH Keywords: curve shortening
zbMATH Keywords: asymptotics
author: S. B. Angenent
author: Juan J. Velázquez
reviewed by: Emil Minchev
MaRDI profile type: Publication
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full work available at URL: s0012-7094-95-07704-7
OpenAlex ID: W2070992536
description: scientific article; zbMATH DE number 755405