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

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

2008-10-14

arxiv.org/abs/0810.2514v1

Mathematics

Analysis of PDEs

18 pages, 3 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Uniqueness of self-similar solutions to the network flow in a given topological class does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uniqueness of self-similar solutions to the network flow in a given topological class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniqueness of self-similar solutions to the network flow in a given topological class will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591962