Fluid-structure interaction: Analysis of a 3-D compressible model
type: Item
instance of: scholarly article
title: Fluid-structure interaction: Analysis of a 3-D compressible model
zbMATH Open document ID: 0974.35086
DOI: 10.1016/S0294-1449(00)00119-0
author: Fabien Flori
author: Pierre Orenga
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2001-12-18T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78508
review text: A flow of a fluid around a large-deformation elastic plate is considered. Then a problem in a time-dependent domain is studied. A priori estimates are obtained, considering the fluid equation in terms of Lamé viscosity coefficients. An existence result is obtained. In the final part, some approach solutions verifying the a priori estimates are obtained. The problem associated to the plate is solved by using a fixed point theorem.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 1558334
zbMATH Keywords: large-deformation solid emerged in a fluid
zbMATH Keywords: a priori estimates
zbMATH Keywords: Lamé viscosity coefficients
zbMATH Keywords: existence
reviewed by: Gelu Paşa
MaRDI profile type: Publication
cites work: On a non-homogeneous shallow-water problem
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cites work: Analysis of a nonlinear fluid–structure interaction problem in velocity–displacement formulation
cites work: On a nonlinear fluid-structure interaction problem defined on a domain depending on time
cites work: Q4504000
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cites work: Existence theorem for the solution of a shallow water problem
cites work: Ordinary differential equations, transport theory and Sobolev spaces
OpenAlex ID: W1999226642
Wikidata QID: Q128111527
description: scientific article; zbMATH DE number 1558334