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

, and

Published under licence by IOP Publishing Ltd
, , Citation K Deckelnick et al 1997 Nonlinearity 10 655 DOI 10.1088/0951-7715/10/3/005

Download Article PDF

Article metrics

103 Total downloads

Share this article

Author affiliations

1 Centre for Mathematical Analysis and Its Applications, University of Sussex, Brighton BN1 9QH, UK

Dates

  1. Received 31 July 1996

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/10/3/655

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.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by S Childress

10.1088/0951-7715/10/3/005