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

Qiang Du; Manlin Li; Chun Liu

doi:10.3934/dcdsb.2007.8.539

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

Qiang Du, Manlin Li, Chun Liu

Research output: Contribution to journal › Article › peer-review

80 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 language	English (US)
Pages (from-to)	539-556
Number of pages	18
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	8
Issue number	3
DOIs	https://doi.org/10.3934/dcdsb.2007.8.539
State	Published - Oct 2007

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdsb.2007.8.539

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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.",

author = "Qiang Du and Manlin Li and Chun Liu",

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AB - 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.

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

Abstract

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