# 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} }

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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