Volume 54, Number 1, January-February 2020
|Page(s)||301 - 333|
|Published online||31 January 2020|
Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters
Institut de Mathématiques de Toulouse, Université Paul Sabatier – 118, route de Narbonne, F-31062 Toulouse Cedex 9, France
Accepted: 1 August 2019
We study the existence of strong solutions to a 2d fluid-structure system. The fluid is modelled by the incompressible Navier–Stokes equations. The structure represents a steering gear and is described by two parameters corresponding to angles of deformation. Its equations are derived from a virtual work principle. The global domain represents a wind tunnel and imposes mixed boundary conditions to the fluid velocity. Our method reposes on the analysis of the linearized system. Under a compatibility condition on the initial data, we can guarantee local existence in time of strong solutions to the fluid-structure problem.
Mathematics Subject Classification: 74F10 / 74H20 / 74H25 / 74H30 / 76D03
Key words: Strong solutions / fluid-structure interaction / Navier–Stokes equations / deformable structure
© EDP Sciences, SMAI 2020
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