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Calculus of Variations and Partial Differential Equations
, Volume 34, Issue 2, pp 153178
First online:
Expanding convex immersed closed plane curves
 TaiChia LinAffiliated withDepartment of Mathematics, National Taiwan University Email author
 , ChiCheung PoonAffiliated withDepartment of Mathematics, National Chung Cheng University
 , DongHo TsaiAffiliated withDepartment of Mathematics, National Tsing Hua University
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We study the evolution driven by curvature of a given convex immersed closed plane curve. We show that it will converge to a selfsimilar solution eventually. This selfsimilar solution may or may not contain singularities. In case it does, we also have estimate on the curvature blowup rate.
Mathematics Subject Classification (2000)
35K15 35K55 Title
 Expanding convex immersed closed plane curves
 Journal

Calculus of Variations and Partial Differential Equations
Volume 34, Issue 2 , pp 153178
 Cover Date
 200902
 DOI
 10.1007/s0052600801807
 Print ISSN
 09442669
 Online ISSN
 14320835
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 35K15
 35K55
 Authors

 TaiChia Lin ^{(1)}
 ChiCheung Poon ^{(2)}
 DongHo Tsai ^{(3)}
 Author Affiliations

 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