On a singular limit of the Kobayashi–Warren–Carter energy

Giga, Yoshikazu; Okamoto, Jun; Sakakibara, Koya et al.

Hokkaido University Preprint Series in Mathematics, 2022, 1146, 1-40

Permalink : https://doi.org/10.14943/103480

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On a singular limit of the KWC energy20220526	pdf	426 KB	322

アクセス権	open access
DOI	https://doi.org/10.14943/103480
URI	https://hdl.handle.net/2115/85740
タイトル	On a singular limit of the Kobayashi–Warren–Carter energy
著者	Giga, Yoshikazu ; Okamoto, Jun ; Sakakibara, Koya ; Uesaka, Masaaki
e-Rad_Researcher 70144110 著者名 Giga, Yoshikazu
著者名 Okamoto, Jun
e-Rad_Researcher 30807772 著者名 Sakakibara, Koya
著者名 Uesaka, Masaaki
言語	英語
キーワード	Gamma limit
	Modica–Mortola functional
	Kobayashi–Warren–Carter energy
	multi-dimensional domain
発行日	2022-06-09
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1146
ページ	1-40
抄録	By introducing a new topology, a representation formula of the Gamma limit of the Kobayashi–Warren–Carter energy is given in a multi-dimensional domain. A key step is to study the Gamma limit of a single-well Modica–Mortola functional. The convergence introduced here is called the sliced graph convergence, which is finer than conventional L1 convergence, and the problem is reduced to a one-dimensional setting by a slicing argument.
資源タイプ	紀要論文
出版タイプ	Version of Record