5IECL - Institut Élie Cartan de Lorraine (Université de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex
Ile du Saulcy - 57 045 Metz Cedex 01 - France)
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.
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⟩