Motion by curvature of a three-dimensional filament: similarity solutions
Motion by curvature of a three-dimensional filament: similarity solutions
We systematically classify and investigate fully three-dimensional similarity solutions to a system of equations describing the motion of a filament moving in the direction of its principle normal with velocity proportional to its curvature, ν = κn, where n is the principle normal and κ the curvature of the filament. Such formulations are relevant to superconducting vortices and disclinations.
395-421
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
May 2002
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Richardson, Giles
(2002)
Motion by curvature of a three-dimensional filament: similarity solutions.
Interfaces and Free Boundaries, 4 (4), .
(doi:10.4171/IFB/67).
Abstract
We systematically classify and investigate fully three-dimensional similarity solutions to a system of equations describing the motion of a filament moving in the direction of its principle normal with velocity proportional to its curvature, ν = κn, where n is the principle normal and κ the curvature of the filament. Such formulations are relevant to superconducting vortices and disclinations.
Text
INTERFACES AND FREE BOUNDARIES 2002 Richardson.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 16 May 2002
Published date: May 2002
Organisations:
Applied Mathematics
Identifiers
Local EPrints ID: 404019
URI: http://eprints.soton.ac.uk/id/eprint/404019
ISSN: 1463-9963
PURE UUID: b22c8adf-3c8c-4e51-8cc0-dc98dd5a4ea1
Catalogue record
Date deposited: 19 Dec 2016 16:47
Last modified: 16 Mar 2024 04:00
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
