# Expanding convex immersed closed plane curves

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DOI: 10.1007/s00526-008-0180-7

- Cite this article as:
- Lin, T., Poon, C. & Tsai, D. Calc. Var. (2009) 34: 153. doi:10.1007/s00526-008-0180-7

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## Abstract

We study the evolution driven by curvature of a given convex immersed closed plane curve. We show that it will converge to a self-similar solution eventually. This self-similar solution may or may not contain singularities. In case it does, we also have estimate on the curvature blow-up rate.

### Mathematics Subject Classification (2000)

35K1535K55## Copyright information

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