Curvature flow with driving force on fixed boundary points |
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Authors: | Longjie Zhang |
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Institution: | 1.Graduate School of Mathematical Sciences,The University of Tokyo,Tokyo,Japan |
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Abstract: | In this paper, we consider the curvature flow with driving force on fixed boundary points in the plane. We give a general local existence and uniqueness result of this problem with \(C^2\) initial curve. For a special family of initial curves, we classify the solutions into three categories. Moreover, in each category, the asymptotic behavior is given. |
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