Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate

@article{Grandmont2008ExistenceOW,
  title={Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate},
  author={C{\'e}line Grandmont},
  journal={SIAM J. Math. Analysis},
  year={2008},
  volume={40},
  pages={716-737}
}
The purpose of this work is to study the existence of solutions for an unsteady fluidstructure interaction problem. We consider a three-dimensional viscous incompressible fluid governed by the Navier–Stokes equations, interacting with a flexible elastic plate located on one part of the fluid boundary. The fluid domain evolves according to the structure’s displacement, itself resulting from the fluid force. We prove the existence of at least one weak solution as long as the structure does not… CONTINUE READING

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The interaction between quasilinear elastodynamics and the Navier - Stokes equations

  • Daniel Coutand, Steve Shkoller
  • Arch . Ration . Mech . Anal .
  • 2005

Analysis of strong solutions for the equations modeling the motion of a rigidfluid system in a bounded domain

  • Takéo Takahashi
  • Adv . Differential Equations
  • 2004

Global strong solutions for the two dimensional motion of a rigid body in a viscous fluid

  • T. Takahashi, M. Tucsnak
  • J. Math. Fluid Mech. 6 (1)
  • 2004
1 Excerpt

On the existence of a strong solution of solutions to a coupled fluid-structure evolution problem

  • H. Beirão da Veiga
  • J. Math. Fluid Mech
  • 2004
1 Excerpt

On the existence of strong solutions to a coupled fluidstructure evolution problem

  • M. Dauge.
  • J . Math . Fluid Mech .
  • 2004

Existence of strong solutions for the equations modelling the rigid motion of a rigid-fluid sytem in a bounded domain

  • T. Takahashi
  • Adv. Differential Equations 8 (12)
  • 2003
1 Excerpt

On the Motion of Rigid Bodies in a Viscous Compressible Fluid

  • E. Feireisl
  • Arch. Rational Mech. Anal. 167
  • 2003
1 Excerpt

Galdi . On the motion of a rigid body in a viscous liquid : a mathematical analysis with applications

  • P-A. Raviart.
  • Handbook of mathematical fluid dynamics
  • 2002

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