Expanding convex immersed closed plane curves
- First Online:
- Cite this article as:
- Lin, T., Poon, C. & Tsai, D. Calc. Var. (2009) 34: 153. doi:10.1007/s00526-008-0180-7
- 94 Views
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.