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.
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Lin, TC., Poon, CC. & Tsai, DH. Expanding convex immersed closed plane curves. Calc. Var. 34, 153–178 (2009). https://doi.org/10.1007/s00526-008-0180-7
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DOI: https://doi.org/10.1007/s00526-008-0180-7