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arXiv · 2301.09841

Periodic solutions to Kobayashi--Warren--Carter systems

Shodai Kubota·Ken Shirakawa
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Abstract

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 Theorem is concerned with the existence of a time-periodic solution to the Kobayashi--Warren--Carter system, and the principal objective is to provide a proof without the use of a compromised assumption, which researchers have been forced to adopt in recent studies.

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Shodai Kubota, Ken Shirakawa. 2023-01-24. Periodic solutions to Kobayashi--Warren--Carter systems. https://arxiv.org/abs/2301.09841

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