Shape of spirals (Q1273494)
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scientific article; zbMATH DE number 1230531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shape of spirals |
scientific article; zbMATH DE number 1230531 |
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Shape of spirals (English)
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7 December 1998
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The author investigates the existence of spiral-like self-similar solutions for the evolution of planar curves by curvature. He concludes that there are no shrinking spiral-like homothetic solutions, but there exists a family of expanding such solutions characterized by a finite rotation number. Thus they are different from the infinite spiral, invariant under rotation, which was known to be a self-similar solution of the curve shortening equation.
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spiral-like self-similar solutions
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evolution of planar curves by curvature
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curve shortening equation
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