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	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.