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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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https://hal.inria.fr/hal-01939464
Contributor : Muriel Boulakia <>
Submitted on : Thursday, November 29, 2018 - 2:47:24 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:06 PM

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

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