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Type: Artigo de periódico
Title: A Phase Field α-navier-stokes Vesicle-fluid Interaction Model: Existence And Uniqueness Of Solutions
Author: Entringer A.P.
Boldrini J.L.
Abstract: In this work we analyze a system of nonlinear evolution partial differential equations modeling the fluid-structure interaction associated to the dynamics of an elastic vesicle immersed in a moving incompressible viscous fluid. This system of equations couples an equation for a phase field variable, used to determine the position of vesicle membrane deformed by the action of the fluid, to the α-Navier- Stokes equations with an extra nonlinear interaction term. We prove global in time existence and uniqueness of solutions for this system in suitable functional spaces even in the three-dimensional case.
Editor: Southwest Missouri State University
Rights: fechado
Identifier DOI: 10.3934/dcdsb.2015.20.397
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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