Nonlinear stability of stationary solutions for surface diffusion with boundary conditions

Garcke, Harald; Ito, Kazuo; Kohsaka, Yoshihito

Hokkaido University Preprint Series in Mathematics, 2007, 864, 1-25

Permalink : https://doi.org/10.14943/84014

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アクセス権	open access
DOI	https://doi.org/10.14943/84014
URI	https://hdl.handle.net/2115/69673
タイトル	Nonlinear stability of stationary solutions for surface diffusion with boundary conditions
著者	Garcke, Harald ; Ito, Kazuo ; Kohsaka, Yoshihito
著者名 Garcke, Harald
著者名 Ito, Kazuo
著者名 Kohsaka, Yoshihito
言語	英語
キーワード	surface diffusion
	nonlinear stability
	energy method
	variational calculus
発行日	2007
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	864
ページ	1-25
抄録	The volume preserving fourth order surface diffusion flow has constant mean curvature hypersurfaces as stationary solutions. We show nonlinear stability of certain stationary curves in the plane which meet an exterior boundary with a prescribed contact angle. Methods include semigroup theory, energy arguments, geometric analysis and variational calculus.
資源タイプ	紀要論文
出版タイプ	Version of Record