Existence for an Unsteady Fluid-Structure Interaction Problem
Ceremade, Université Paris Dauphine, 75775 Paris Cedex 16, France.
2 Laboratoire ASCI, Bât. 506, Université Paris Sud, 91405 Orsay, Cedex, France et ONERA, 29 avenue Division Leclerc, 92322 Châtillon, France.
Revised: 7 October 1999
We study the well-posedness of an unsteady fluid-structure interaction problem. We consider a viscous incompressible flow, which is modelled by the Navier-Stokes equations. The structure is a collection of rigid moving bodies. The fluid domain depends on time and is defined by the position of the structure, itself resulting from a stress distribution coming from the fluid. The problem is then nonlinear and the equations we deal with are coupled. We prove its local solvability in time through two fixed point procedures.
Mathematics Subject Classification: 76D05 / 35Q30 / 73K70
Key words: Navier-Stokes / fluid structure interaction.
© EDP Sciences, SMAI, 2000