Evolution of non-simple closed curves in the area-preserving curvature flow
Published online by Cambridge University Press: 28 December 2017
Abstract
The convergence and blow-up results are established for the evolution of non-simple closed curves in an area-preserving curvature flow. It is shown that the global solution starting from a locally convex curve converges to an m-fold circle if the enclosed algebraic area A0 is positive, and evolves into a point if A0 = 0.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 148 , Issue 3 , June 2018 , pp. 659 - 668
- Copyright
- Copyright © Royal Society of Edinburgh 2018
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