FRACTIONAL TIME DIFFERENTIAL EQUATIONS AS A SINGULAR LIMIT OF THE KOBAYASHI-WARREN-CARTER SYSTEM

GIGA, YOSHIKAZU; KUBO, AYATO; KURODA, HIROTOSHI et al.

Hokkaido University Preprint Series in Mathematics, 2023, 1152, 1-24

Permalink : https://doi.org/10.14943/107833

このアイテムのアクセス数:612件（2026-08-27 05:48 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
FractionalTimeDifferentialEquations_arXiv_ver1	pdf	2.24 MB	377

アクセス権	open access
DOI	https://doi.org/10.14943/107833
URI	https://hdl.handle.net/2115/90095
タイトル	FRACTIONAL TIME DIFFERENTIAL EQUATIONS AS A SINGULAR LIMIT OF THE KOBAYASHI-WARREN-CARTER SYSTEM
著者	GIGA, YOSHIKAZU ; KUBO, AYATO ; KURODA, HIROTOSHI ; OKAMOTO, JUN ; SAKAKIBARA, KOYA ; UESAKA, MASAAKI
e-Rad_Researcher 70144110 著者名 GIGA, YOSHIKAZU
著者名 KUBO, AYATO
e-Rad_Researcher 80635657 著者名 KURODA, HIROTOSHI
著者名 OKAMOTO, JUN
著者名 SAKAKIBARA, KOYA
著者名 UESAKA, MASAAKI
言語	英語
発行日	2023-06-29
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1152
ページ	1-24
抄録	This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling, the limit system is formally derived when the interface thickness parameter tends to zero. Different from many other problems, it turns out that the limit system is a system involving fractional time derivatives, although the original system is a simple gradient flow. A rigorous derivation is given when the problem is reduced to a gradient flow of a single-well Modica{Mortola functional in a one-dimensional setting.
資源タイプ	紀要論文
出版タイプ	Version of Record