On the formation of singularities in the curve expanding flow (Q1606059)
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scientific article; zbMATH DE number 1773408
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the formation of singularities in the curve expanding flow |
scientific article; zbMATH DE number 1773408 |
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On the formation of singularities in the curve expanding flow (English)
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29 July 2002
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The instability problem of an immersed circle solution of the differential equation which describes the expansion of a given immersed convex closed plane curve and the formation of certain singularities are discussed. Some aspects of the curvature blowup rate for arbitrary initial data are also studied. The example of expansion of the limaçon curve is given in detail.
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curve expanding flow
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instability of a solution
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singularities
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