Analysis of a phase field Navier-Stokes vesicle-fluid interaction model
Qiang Du - Department of Mathematics, Pennsylvania State University, University Park, PA 16802, United States (email)
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 , 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.
Keywords: Phase Field, Navier-Stokes, Well-posedness, Weak Solution, Existence, Uniqueness, Vesicle Membrane, Fluid Interaction, Bending Elastic Energy.
Received: August 2006; Revised: February 2007; Published: July 2007.
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