A PHASE FIELD alpha-NAVIER-STOKES VESICLE-FLUID INTERACTION MODEL: EXISTENCE AND UNIQUENESS OF SOLUTIONS

Autor(es)

Entringer, Ariane Piovezan ^[1] ; Boldrini, Jose Luiz ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG - Brazil

^[2] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 20, n. 2, p. 397-422, MAR 2015.
• Citações Web of Science: 0

Resumo

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. (AU)

• Processo FAPESP: 09/15098-0 - Avaliando controle de epidemias utilizando modelos matemáticos e computacionais
• Beneficiário: Hyun Mo Yang
• Modalidade de apoio: Auxílio à Pesquisa - Temático