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

Qiang Du | Zendy; Manlin Li | Zendy; Chun Liu | Zendy

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

Author(s) -

Qiang Du,

Manlin Li,

Chun Liu

Publication year - 2007

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2007.8.539

Subject(s) - uniqueness , elasticity (physics) , compressibility , vesicle , mechanics , membrane , field (mathematics) , physics , phase (matter) , classical mechanics , mathematics , mathematical analysis , chemistry , thermodynamics , biochemistry , quantum mechanics , pure mathematics

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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