# Existence for an Unsteady Fluid-Structure Interaction Problem

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 34, Issue: 3, page 609-636
- ISSN: 0764-583X

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topGrandmont, Céline, and Maday, Yvon. "Existence for an Unsteady Fluid-Structure Interaction Problem." ESAIM: Mathematical Modelling and Numerical Analysis 34.3 (2010): 609-636. <http://eudml.org/doc/197391>.

@article{Grandmont2010,

abstract = {
We study the well-posedness of an unsteady fluid-structure interaction problem.
We consider a viscous incompressible flow, which is modelled by the
Navier-Stokes equations. The structure is a collection of rigid moving bodies. The fluid
domain depends on time and is defined by the position of the structure, itself resulting
from a stress distribution coming from the fluid. The problem is then
nonlinear and the equations we deal with are coupled. We prove its local
solvability in time through two fixed point procedures.
},

author = {Grandmont, Céline, Maday, Yvon},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Navier-Stokes; fluid structure interaction.; time-dependent domain; coupled equations; fluid-structure interaction; rigid bodies; incompressible Navier-Stokes equations; local solvability in time; Banach fixed point theorem; contraction mapping principle},

language = {eng},

month = {3},

number = {3},

pages = {609-636},

publisher = {EDP Sciences},

title = {Existence for an Unsteady Fluid-Structure Interaction Problem},

url = {http://eudml.org/doc/197391},

volume = {34},

year = {2010},

}

TY - JOUR

AU - Grandmont, Céline

AU - Maday, Yvon

TI - Existence for an Unsteady Fluid-Structure Interaction Problem

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 34

IS - 3

SP - 609

EP - 636

AB -
We study the well-posedness of an unsteady fluid-structure interaction problem.
We consider a viscous incompressible flow, which is modelled by the
Navier-Stokes equations. The structure is a collection of rigid moving bodies. The fluid
domain depends on time and is defined by the position of the structure, itself resulting
from a stress distribution coming from the fluid. The problem is then
nonlinear and the equations we deal with are coupled. We prove its local
solvability in time through two fixed point procedures.

LA - eng

KW - Navier-Stokes; fluid structure interaction.; time-dependent domain; coupled equations; fluid-structure interaction; rigid bodies; incompressible Navier-Stokes equations; local solvability in time; Banach fixed point theorem; contraction mapping principle

UR - http://eudml.org/doc/197391

ER -

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