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2006 On the existence of solutions of the Helfrich flow and its center manifold nearspheres
Yoshihito Kohsaka, Takeyuki Nagasawa
Differential Integral Equations 19(2): 121-142 (2006).

Abstract

The Helfrich variational problem is the minimizing problem of the bending energy among closed surface with prescribed area and enclosed volume. This is one of the models for shape transformation theory of human red blood cells. 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.

Citation

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Yoshihito Kohsaka. Takeyuki Nagasawa. "On the existence of solutions of the Helfrich flow and its center manifold nearspheres." Differential Integral Equations 19 (2) 121 - 142, 2006.

Information

Published: 2006
First available in Project Euclid: 21 December 2012

zbMATH: 1212.49059
MathSciNet: MR2194500

Subjects:
Primary: 58E12
Secondary: 49Q10, 74G05, 74L15, 92C50

Rights: Copyright © 2006 Khayyam Publishing, Inc.

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Vol.19 • No. 2 • 2006
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