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（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.