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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.

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Published date: May 1997
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 404032
URI: http://eprints.soton.ac.uk/id/eprint/404032
DOI: doi:10.1088/0951-7715/10/3/005
ISSN: 0951-7715
PURE UUID: 0a9b377a-1f09-418d-8cc2-dfd541db4f01
ORCID for Giles Richardson: ORCID iD orcid.org/0000-0001-6225-8590

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Date deposited: 04 Jan 2017 16:45
Last modified: 16 Mar 2024 04:00

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Author: Klaus Deckelnick
Author: Charles Elliott
Author: Giles Richardson ORCID iD

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