Analysis of a phase field Navier-stokes vesicle-fluid interaction model

Qiang Du, Manlin Li, Chun Liu

Research output: Contribution to journalArticlepeer-review

60 Scopus citations

Abstract

This paper is concerned with the dynamics of vesicle membranes in incompressible viscous fluids. Some rigorous theory are presented for the phase field Navier-Stokes model proposed in [7], which is based on an energetic variation approach and incorporates the effect of bending elasticity energy for the vesicle membranes. The existence and uniqueness results of the global weak solutions are established.

Original languageEnglish (US)
Pages (from-to)539-556
Number of pages18
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume8
Issue number3
DOIs
StatePublished - Oct 2007

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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