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 2011
形態種別 学術雑誌
査読 査読あり
標題 Global attractor of the multivalued semigroup associated with a phase-field model of grain boundary motion with constraint
執筆形態 共著
掲載誌名 Dynamical Systems, Differential Equations and Applications
出版社・発行元 Discrete and Continuous Dynamical Systems
巻・号・頁 2,pp.824-833
著者・共著者 N. Kenmochi
概要 We consider a phase- eld model of grain boundary motion with
constraint, which is a nonlinear system of Kobayashi{Warren{Carter type: a
nonlinear parabolic partial di erential equation and a nonlinear parabolic variational
inequality. Recently the existence of solutions to our system was shown
in the N-dimensional case. Also the uniqueness was proved in the case when
the space dimensional is one and initial data are good. In this paper we study
the asymptotic stability of our model without uniqueness. In fact we shall
construct global attractors for multivalued semigroups (multivalued semi
ows)
associated with our system in the N-dimensional case.