| Issue |
ESAIM: M2AN
Volume 54, Number 1, January-February 2020
|
|
|---|---|---|
| Page(s) | 301 - 333 | |
| DOI | https://doi.org/10.1051/m2an/2019059 | |
| 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
* Corresponding author: guillaume.delay@math.univ-toulouse.fr, guillaume.delay@enpc.fr
Received:
4
December
2018
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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