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

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Please use this identifier to cite or link to this item:http://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
Nagasawa, Takeyuki Browse this author
Issue Date: 2005
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

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