Uniqueness of self-similar solutions to the network flow in a given topological class

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
18 pages, 3 figures

Keywords

Analysis of PDEs, 35K65, 53C44

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/171491

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2514
 http://arxiv.org/abs/0810.2514

Collections

arXiv