ヤマザキ ノリアキ   Yamazaki Noriaki
  山崎 教昭
   所属   神奈川大学  工学部 数学教室
    神奈川大学大学院  工学研究科 工学専攻(応用物理学領域)
   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.