Similarity solutions in the theory of curvature driven diffusion along planar curves. I: Symmetric curves expanding in time
type: Item
instance of: scholarly article
title: Similarity solutions in the theory of curvature driven diffusion along planar curves. I: Symmetric curves expanding in time
zbMATH Open document ID: 0934.65111
DOI: 10.1016/S0167-2789(98)00160-2
author: Sergey Asvadurov
author: Bernard D. Coleman
author: Richard S. Falk
author: M. Moakher
published in: Physica D
publication date: 1999-12-06T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35K30
zbMATH DE Number: 1374379
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: similarity solutions
zbMATH Keywords: diffusion along curves
zbMATH Keywords: curvature driven surface diffusion
zbMATH Keywords: numerical results
MaRDI profile type: Publication
cites work: Flow by mean curvature of convex surfaces into spheres
cites work: Exact solvability of the Mullins nonlinear diffusion model of groove development
full work available at URL: s0167-2789(98)00160-2
OpenAlex ID: W2002596586
Recommended article: Similarity solutions in the theory of curvature driven diffusion along planar curves. II: Curves that travel at constant speed.
Recommended article: On the curve diffusion flow of closed plane curves
Recommended article: Q3766545
Recommended article: Self-similar solutions to the curve shortening flow
Recommended article: Evolution of highly symmetric curves under the shrinking curvature flow
Recommended article: A generalized diffusion equation: Radial symmetries and comparison theorems
Recommended article: The self-similar expanding curve for the curvature flow equation
Recommended article: Evolution of closed curves by length-constrained curve diffusion
Recommended article: Solution of nonlinearly curvature driven evolution of plane curves
Recommended article: Q3138608
description: scientific article; zbMATH DE number 1374379