Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1]
Name
Halldorsson-2015-Self-similar solutio.pdf
Size
774.01 KB
Format
Adobe PDF
Checksum (MD5)
a25bbaf517f75ecd947a9ae34b51638e
Author(s)
Halldorsson, Hoeskuldur Petur
Alternative Title
Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ1,1
Date Issued
July 2013
Journal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Publisher
Walter de Gruyter
Citation
Halldorsson, Hoeskuldur P. “Self-Similar Solutions to the Mean Curvature Flow in the Minkowski Plane ℝ1,1.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2015, no. 704 (January 1, 2015). © 2015
De Gruyter
Version
Final published version
Abstract
We introduce the mean curvature flow of curves in the Minkowski plane ℝ[superscript 1,1] and give a classification of all the self-similar solutions. In addition, we describe five other exact solutions to the flow.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1515/crelle-2013-0054
