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 2010
形態種別 学術雑誌
査読 査読あり
標題 Large-time behavior of solutions to a phase-field model of grain boundary motion with constraint
執筆形態 共著
掲載誌名 Current Advances in Nonlinear Analysis and Related Topics
出版社・発行元 Gakkotosho
巻・号・頁 32,pp.389-403
著者・共著者 N. Kenmochi
概要 We consider a model of grain
boundary motion with constraint and this work was motivated by papers [14,15] due to
R. Kobayashi, J.A. Warren and W.C. Carter in which they proposed a two
dimensional phase-field system as a mathematical model
describing the grain boundary motion and gave some numerical experiments
on its large-time behavior.
In this paper we discuss it from the theoretical point of view, showing the convergence
of the free energy functionals as time goes to infinity along the global (in time) solutions to our
phase-field system of Kobayashi-Warren-Carter type. Moreover we
establish a result on the large-time behavior of solutions to our model.