Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/242173
Type: Artigo de periódico
Title: A Phase Field Alpha-navier-stokes Vesicle-fluid Interaction Model: Existence And Uniqueness Of Solutions
Author: Entringer
Ariane Piovezan; Boldrini
Jose Luiz
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 alpha-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.
Subject: Elastic Bending Energy
Camassa-holm Equations
Membranes
Formulation
Aorta
Flow
Country: SPRINGFIELD
Editor: AMER INST MATHEMATICAL SCIENCES
Citation: A Phase Field Alpha-navier-stokes Vesicle-fluid Interaction Model: Existence And Uniqueness Of Solutions. Amer Inst Mathematical Sciences, v. 20, p. 397-422 MAR-2015.
Rights: fechado
Identifier DOI: 10.3934/dcdsb.2015.20.397
Address: https://aimsciences.org/journals/displayArticlesnew.jsp?paperID=10716
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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