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Expanding convex immersed closed plane curves |
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| Authors: | Tai-Chia Lin Chi-Cheung Poon Dong-Ho Tsai |
| Institution: | (1) Department of Mathematics, National Taiwan University, Taipei, 106, Taiwan;(2) Department of Mathematics, National Chung Cheng University, Chiayi, 621, Taiwan;(3) Department of Mathematics, National Tsing Hua University, Hsinchu, 300, Taiwan |
| 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. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 35K15 35K55 |
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