Self-similar solutions to the curve shortening flow (Q2841403)
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scientific article; zbMATH DE number 6191470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-similar solutions to the curve shortening flow |
scientific article; zbMATH DE number 6191470 |
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Self-similar solutions to the curve shortening flow (English)
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25 July 2013
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shortening flow
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Some examples of immersed curves in the plane which move in a self-similar manner under the curve shortening flow are known. The obvious ones are the straight line and the circle. \textit{U. Abresch} and \textit{J. Langer} [J. Differ. Geom. 23, 175--196 (1986; Zbl 0592.53002)] classified the immersed closed curves which shrink homothetically under the flow. NEWLINENEWLINENEWLINEIn the paper under review, the author finds and classifies all immersed curves in the plane which move in a self-similar manner under the curve shortening flow.
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