We prove that the curvature flow of an embedded planar network of three curves connected through a triple junction, with fixed endpoints on the boundary of a given strictly convex domain, exists smooth as long as the lengths of the three curves stay far from zero. If this is the case for all times, then the evolution exists for all times and the network converges to the Steiner minimal connection between the three endpoints.
Motion by Curvature of Planar Networks II
MANTEGAZZA, Carlo Maria;
2016
Abstract
We prove that the curvature flow of an embedded planar network of three curves connected through a triple junction, with fixed endpoints on the boundary of a given strictly convex domain, exists smooth as long as the lengths of the three curves stay far from zero. If this is the case for all times, then the evolution exists for all times and the network converges to the Steiner minimal connection between the three endpoints.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
tripunto2.pdf
Accesso chiuso
Tipologia:
Altro materiale allegato
Licenza:
Non pubblico
Dimensione
407.3 kB
Formato
Adobe PDF
|
407.3 kB | Adobe PDF | Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
