On the "viscous incompressible fluid + rigid body" system with Navier conditions

@article{Planas2012OnT,
  title={On the "viscous incompressible fluid + rigid body" system with Navier conditions},
  author={Gabriela Planas and Franck Sueur},
  journal={arXiv: Analysis of PDEs},
  year={2012}
}
  • G. Planas, F. Sueur
  • Published 31 May 2012
  • Mathematics, Physics, Computer Science
  • arXiv: Analysis of PDEs
In this paper we consider the motion of a rigid body in a viscous incompressible fluid when some Navier slip conditions are prescribed on the body's boundary. The whole system "viscous incompressible fluid + rigid body" is assumed to occupy the full space $\R^{3}$. We start by proving the existence of global weak solutions to the Cauchy problem. Then, we exhibit several properties of these solutions. First, we show that the added-mass effect can be computed which yields better-than-expected… 
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