研究者情報 | 神奈川大学

ヤマザキ　ノリアキ Yamazaki Noriaki 山崎　教昭所属神奈川大学情報学部システム数理学科神奈川大学大学院工学研究科工学専攻（情報システム創成領域）職種教授
言語種別	英語
発行・発表の年月	2013
形態種別	学術雑誌
査読	査読あり
標題	Solvability for one-dimensional phase field system associated with grain boundary motion
執筆形態	共著
掲載誌名	Mathematische Annalen
出版社・発行元	Springer
巻・号・頁	356,pp.301-330
著者・共著者	K. Shirakawa and H. Watanabe
概要	In this paper, a coupled system of two parabolic equations, subject to the homogeneous Neumann boundary conditions and initial conditions, is considered as a one-dimensional version of the phase field system of grain boundary motion proposed by Kobayashi-Warren-Carter [20,21]. The system presented includes some non-standard situations, and these non-standard situations come from a weighted total variation constructed from the governing free energy. The main objective of this paper is to define a solution to our system which is valid for the focused non-standard situations. This objective is achieved by proving the Main Theorem, which is concerned with the existence of solutions to our system.