Self-similarly expanding networks to curve shortening flow

Oliver C. Schnürer; Felix Schulze

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2007)

  • Volume: 6, Issue: 4, page 511-528
  • ISSN: 0391-173X

Abstract

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We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form 120 degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.

How to cite

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Schnürer, Oliver C., and Schulze, Felix. "Self-similarly expanding networks to curve shortening flow." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.4 (2007): 511-528. <http://eudml.org/doc/272269>.

@article{Schnürer2007,
abstract = {We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form $120$ degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.},
author = {Schnürer, Oliver C., Schulze, Felix},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {511-528},
publisher = {Scuola Normale Superiore, Pisa},
title = {Self-similarly expanding networks to curve shortening flow},
url = {http://eudml.org/doc/272269},
volume = {6},
year = {2007},
}

TY - JOUR
AU - Schnürer, Oliver C.
AU - Schulze, Felix
TI - Self-similarly expanding networks to curve shortening flow
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2007
PB - Scuola Normale Superiore, Pisa
VL - 6
IS - 4
SP - 511
EP - 528
AB - We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form $120$ degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.
LA - eng
UR - http://eudml.org/doc/272269
ER -

References

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