We consider the evolution of a polycrystalline material with three or more phases, in the presence of an even crystalline anisotropy. We analyze existence, uniqueness, regularity and stability of the flow. In particular, if the flow becomes unstable at a finite time, we prove that an additional segment ( or even an arc) at the triple junction may develop in order to decrease the energy and make the flow stable at subsequent times. We discuss some examples of collapsing situations that lead to changes of topology, such as the collision of two triple junctions.

Bellettini, G., Chermisi, M., & Novaga, M. (2006). Crystalline curvature flow of planar networks. INTERFACES AND FREE BOUNDARIES, 8(4), 481-521.

Crystalline curvature flow of planar networks

BELLETTINI, GIOVANNI;
2006

Abstract

We consider the evolution of a polycrystalline material with three or more phases, in the presence of an even crystalline anisotropy. We analyze existence, uniqueness, regularity and stability of the flow. In particular, if the flow becomes unstable at a finite time, we prove that an additional segment ( or even an arc) at the triple junction may develop in order to decrease the energy and make the flow stable at subsequent times. We discuss some examples of collapsing situations that lead to changes of topology, such as the collision of two triple junctions.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - Analisi Matematica
eng
Motion by crystalline curvature of networks; Polycrystalline materials
http://www.math.sns.it/paper/686/
Bellettini, G., Chermisi, M., & Novaga, M. (2006). Crystalline curvature flow of planar networks. INTERFACES AND FREE BOUNDARIES, 8(4), 481-521.
Bellettini, G; Chermisi, M; Novaga, M
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/37222
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