Uniqueness of self-similar solutions to the network flow in a given topological class
| Autor: | Trumper, Mariel Sáez |
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| Rok vydání: | 2008 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper we study the uniqueness of expanding self-similar solutions to the network flow in a fixed topological class. We prove the result via the parabolic Allen-Cahn approximation proved in \cite{triodginz}. Moreover, we prove that any regular evolution of connected tree-like network (with an initial condition that might be not regular) is unique in a given a topological class. Comment: 18 pages, 3 figures |
| Databáze: | arXiv |
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