A convergence result for a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain

Eto, Tokuhiro; Giga, Yoshikazu

Hokkaido University Preprint Series in Mathematics, 2024, 1155, 1-31

Permalink : https://doi.org/10.14943/109139

このアイテムのアクセス数:329件（2026-08-13 18:55 集計）

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ConvergenecEtoGigamainarXiv	pdf	328 KB	251

アクセス権	open access
DOI	https://doi.org/10.14943/109139
URI	https://hdl.handle.net/2115/91201
タイトル	A convergence result for a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain
著者	著者名 Eto, Tokuhiro
著者	e-Rad_Researcher 70144110 著者名 Giga, Yoshikazu
言語	英語
発行日	2024-02-27
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1155
ページ	1-31
抄録	We consider a minimizing movement scheme of Chambolle type for the mean curvature flow equation with prescribed contact angle condition in a smooth bounded domain in Rd (d 2). We prove that an approximate solution constructed by the proposed scheme converges to the level-set mean curvature flow with prescribed contact angle provided that the domain is convex and that the contact angle is away from zero under some control of derivatives of given prescribed angle. We actually prove that an auxiliary function corresponding to the scheme uniformly converges to a unique viscosity solution to the level-set equation with an oblique derivative boundary condition corresponding to the prescribed boundary condition.
資源タイプ	紀要論文
出版タイプ	Version of Record