On the existence for the Helfrich flow and its center manifold near spheres

Kohsaka, Yoshihito; Nagasawa, Takeyuki

Hokkaido University Preprint Series in Mathematics, 2005, 709, 1-24

Permalink : https://doi.org/10.14943/83860

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アクセス権	open access
DOI	https://doi.org/10.14943/83860
URI	https://hdl.handle.net/2115/69514
タイトル	On the existence for the Helfrich flow and its center manifold near spheres
著者	著者名 Kohsaka, Yoshihito
著者	著者名 Nagasawa, Takeyuki
言語	英語
発行日	2005
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	709
ページ	1-24
抄録	The Helfrich variational problem is the minimizing problem of the bending energy among the closed surface with the prescribed area and enclosed volume. This is one of models for shape transformation theory of human red blood cell. Here the associated gradient flow, called the Helfrich flow, is studied. The existence of this geometric flow is proved locally for arbitrary initial data, and globally near spheres. Furthermore its center manifold near spheres is investigated.
資源タイプ	紀要論文
出版タイプ	Version of Record