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 Global attractors for non-autonomous phase-field systems of grain
boundary motion with constraint
執筆形態 単著
掲載誌名 Advances in Mathematical Sciences and Applications
出版社・発行元 Gakkotosho
巻・号・頁 23,pp.267-296
概要 We study a grain boundary motion model of Kobayashi--Warren--Carter type,
which is a phase-field system of
a nonlinear parabolic partial differential equation and a nonlinear parabolic variational inequality.
%
%
Recently, we constructed the global attractor for autonomous phase-field system of grain boundary motion with constraint.
%
%
%
In this paper we study non-autonomous systems of grain boundary motion. More precisely, we consider the
time-dependent mobility function for the mean orientation of the crystalline. Then, we show the existence-uniqueness
and large-time behavior of solutions to our non-autonomous systems. Also, assuming
that the time-dependent mobility function converges asymptotically to the time-independent
one (in a sense) as time goes to infinity, we construct global attractors
for non-autonomous systems and its limiting autonomous system of grain boundary motion. Moreover, we discuss the relationship
between them.