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math.AP2022
Weak solutions to an initial-boundary value problem for a continuum equation of motion of grain boundaries
Peicheng Zhu, Lei Yu, Yang Xiang
We investigate an initial-(periodic-)boundary value problem for a continuum equation, which is a model for motion of grain boundaries based on the underlying microscopic mechanisms…
math.AP2022
Well-posedness of a modified degenerate Cahn-Hilliard model for surface diffusion
Xiaohua Niu, Yang Xiang, Xiaodong Yan
We study the well-posedness of a modified degenerate Cahn-Hilliard type model for surface diffusion. With degenerate phase-dependent diffusion mobility and additional stabilizing f…