https://neckpinch.com/authors/masashi-mizuno/New arXiv papers by Masashi Mizuno, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2112.11069/arxiv:2112.11069Tue, 21 Dec 2021 00:00:00 GMTTakashi Kagaya, Masashi Mizuno, Keisuke Takasao — 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.Other curvature flowsLong-time existence & convergencePhase fields & multiphase flows