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January 1, 2007Discrete and Continuous Dynamical Systems - B

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

Qiang Du Manlin Li Chun Liu

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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.

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Du et al. (2007) studied this question.

synapsesocial.com/papers/6a70ac2aac440176ef295693 https://doi.org/10.3934/dcdsb.2007.8.539

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