Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1]

Author(s)
Halldorsson, Hoeskuldur Petur
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Alternative title
Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ1,1
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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.
Date issued
2013-07
URI
http://hdl.handle.net/1721.1/109063
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0075-4102
1435-5345
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