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arXiv · 2112.11069

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

Takashi Kagaya·Masashi Mizuno·Keisuke Takasao
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Abstract

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.

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Takashi Kagaya, Masashi Mizuno, Keisuke Takasao. 2021-12-21. Long time behavior for a curvature flow of networks related to grain bundary motion with the effect of lattice misorientations. https://arxiv.org/abs/2112.11069

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