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	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 dierential 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.