Self-similar planar curves related to modified Korteweg-de Vries equation |
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| Authors: | G Perelman |
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| Institution: | a Ecole Polytechnique, Paris, France
b Universidad del Pais Vasco, Bilbao, Spain |
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| Abstract: | We exhibit a time reversible geometric flow of planar curves which can develop singularities in finite time within the uniform topology. The example is based on the construction of selfsimilar solutions of modified Korteweg-de Vries equation of a given (small) mean. |
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| Keywords: | Planar curves Selfsimilarity Modified Korteweg-de Vries equation |
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