Incompressible Flow around a Small Obstacle and the Vanishing Viscosity Limit

@inproceedings{Iftimie2008IncompressibleFA,
  title={Incompressible Flow around a Small Obstacle and the Vanishing Viscosity Limit},
  author={Dragos Iftimie and Milton C. Lopes Filho and Helena J. Nussenzveig Lopes},
  year={2008}
}
In this article we consider viscous flow in the exterior of an obstacle satisfying the standard no-slip boundary condition at the surface of the obstacle. We seek conditions under which solutions of the NavierStokes system in the exterior domain converge to solutions of the Euler system in the full space when both viscosity and the size of the obstacle vanish. We prove that this convergence is true assuming two hypotheses: first, that the initial exterior domain velocity converges strongly in L… CONTINUE READING

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