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Journal Articles Nonlinearity Year : 2019

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

Abstract

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 R3. Our main result is the local in time existence and uniqueness of a strong solution of the corresponding system.
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Dates and versions

hal-01939464 , version 1 (29-11-2018)

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Cite

Muriel Boulakia, Sergio Guerrero, Takeo Takahashi. Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure. Nonlinearity, 2019, 32, pp.3548-3592. ⟨10.1088/1361-6544/ab128c⟩. ⟨hal-01939464⟩
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