Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure

In this paper, we consider a system modeling the interaction between a viscous incompressible fluid and an elastic structure. The fluid motion is represented by the classical Navier-Stokes equations while the elastic displacement is described by the linearized elasticity equation. The elastic struct...

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Bibliographic Details
Published inNonlinearity Vol. 32; no. 10; pp. 3548 - 3592
Main Authors Boulakia, Muriel, Guerrero, Sergio, Takahashi, Takéo
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.10.2019
Subjects
Analysis of PDEs
elastic structure
fluid-structure
Mathematics
Navier-Stokes system
Navier-Stokes system
Fluid-structure
Elastic structure
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Summary:In this paper, we consider a system modeling the interaction between a viscous incompressible fluid and an elastic structure. The fluid motion is represented by the classical Navier-Stokes equations while the elastic displacement is described by the linearized elasticity equation. The elastic structure is immersed in the fluid and the whole system is confined into a general bounded smooth domain of . Our main result is the local in time existence and uniqueness of a strong solution of the corresponding system.
Bibliography:London Mathematical Society
NON-102984.R1
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ab128c