Self-similar solutions to the curve shortening flow
Hoeskuldur P. Halldorsson
TL;DR
This paper classifies all self-similar solutions to the curve shortening flow in the plane, providing a comprehensive understanding of their structure and behavior.
Contribution
It offers a complete classification of self-similar solutions to the curve shortening flow, a significant step in understanding their geometric properties.
Findings
Identified all self-similar solutions in the plane.
Provided explicit descriptions of these solutions.
Enhanced understanding of curve evolution under flow.
Abstract
We give a classification of all self-similar solutions to the curve shortening flow in the plane.
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