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math.AP2023
Periodic solutions to Kobayashi--Warren--Carter systems
Shodai Kubota, Ken Shirakawa
In this paper, a system of parabolic PDEs, called the Kobayashi--Warren--Carter system, is considered as a possible phase-field model of planar grain boundary motion. The Main Theo…
math.AP2016
A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions
Pierluigi Colli, Gianni Gilardi, Ryota Nakayashiki +1
In this paper, we consider a class of coupled systems of PDEs, denoted by (ACE) for . For each , the system (ACE)$_{\var…