Self-similarly expanding networks to curve shortening flow
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 6 (2007) no. 4, pp. 511-528.

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.

Classification : 53C44,  35Q51,  74K30,  74N20
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Schnürer, Oliver C.; Schulze, Felix. Self-similarly expanding networks to curve shortening flow. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 6 (2007) no. 4, pp. 511-528. http://www.numdam.org/item/ASNSP_2007_5_6_4_511_0/

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