Long time behavior for a curvature flow of networks related to grain bundary motion with the effect of lattice misorientations

Autor:	Kagaya, Takashi, Mizuno, Masashi, Takasao, Keisuke
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	The mathematical model of grain boundary motion, including lattice misorientations' effect, is considered. When time-dependent lattice misorientations are state variables of the surface tension of the grain boundary, to ensure the energy dissipation law, one can obtain a curvature flow of networks with time-dependent mobilities. This paper studies the solvability and long-time asymptotic behavior of the curvature flow subjected to the Herring condition which ensures that the constituent grain boundary surface tensions are balanced at the triple junction. Comment: 58 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.11069 Zobrazit plný text záznamu View this record from Arxiv