Bifurcating critical points of bending energy under constraints related to the shape of red blood cells

Takeyuki Nagasawa, Izumi Takagi

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Considered is a variational problem for the bending energy of closed surfaces under the prescribed area and surrounding volume. Minimizers of this problem are interpreted as surfaces modeling the shape of red blood cells. We give a rigorous proof of the existence of a one-parameter family of critical points bifurcating from the sphere and study their stability/instability. In particular, for a few branches of critical points, we compute the exact values of the index and the nullity of critical points.

Original languageEnglish
Pages (from-to)63-111
Number of pages49
JournalCalculus of Variations and Partial Differential Equations
Volume16
Issue number1
DOIs
Publication statusPublished - 2003 Jan 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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