The University of Southampton
University of Southampton Institutional Repository

Long time asymptotics for forced curvature flow applied to the motion of a superconducting vortex

Long time asymptotics for forced curvature flow applied to the motion of a superconducting vortex
Long time asymptotics for forced curvature flow applied to the motion of a superconducting vortex
We consider the large time asymptotics for the evolution of a planar curve subject to mean curvature flow and constant forcing. Depending on the sign of the forcing we prove convergence for large times to either a travelling wave or a self-similar profile. The context of our work is the study of the motion of a superconducting vortex.
0951-7715
665-678
Deckelnick, Klaus
228d836c-f5eb-42b4-aa49-5940ea33d639
Elliott, Charles
dad99000-baf2-46a0-8088-9bf8e1043e5c
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Deckelnick, Klaus
228d836c-f5eb-42b4-aa49-5940ea33d639
Elliott, Charles
dad99000-baf2-46a0-8088-9bf8e1043e5c
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91

Deckelnick, Klaus, Elliott, Charles and Richardson, Giles (1997) Long time asymptotics for forced curvature flow applied to the motion of a superconducting vortex. Nonlinearity, 10 (655), 665-678. (doi:10.1088/0951-7715/10/3/005).

Record type: Article

Abstract

We consider the large time asymptotics for the evolution of a planar curve subject to mean curvature flow and constant forcing. Depending on the sign of the forcing we prove convergence for large times to either a travelling wave or a self-similar profile. The context of our work is the study of the motion of a superconducting vortex.

Text
Nonlinearity 1997 Deckelnick.pdf - Version of Record
Restricted to Repository staff only
Request a copy

More information

Published date: May 1997
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 404032
URI: https://eprints.soton.ac.uk/id/eprint/404032
ISSN: 0951-7715
PURE UUID: 0a9b377a-1f09-418d-8cc2-dfd541db4f01

Catalogue record

Date deposited: 04 Jan 2017 16:45
Last modified: 19 Jul 2019 19:31

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×