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


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

pre709.pdf

177.85 kB

PDF

Please use this identifier to cite or link to this item:https://doi.org/10.14943/83860

Title:	On the existence for the Helfrich flow and its center manifold near spheres
Authors:	Kohsaka, Yoshihito Browse this author
Authors:	Nagasawa, Takeyuki Browse this author
Issue Date:	2005
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	709
Start Page:	1
End Page:	24
Abstract:	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.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69514
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University