### Abstract

We study the inviscid limit for the two dimensional Navier-Stokes equations with non-homogeneous Navier slip boundary condition. We show that the vanishing viscosity limit of Navier-Stokes's solutions veri es the Euler equations with the corresponding Navier slip boundary condition just on the in ow boundary. The convergence result is established with respect to the strong topology of the Sobolev spaces W1 p ; p > 2.

Original language | English |
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Title of host publication | AIMS Series on Applied Mathematics - Hyperbolic Problems: Theory, Numerics, Applications |

Pages | 431-438 |

Publication status | Published - 1 Jan 2014 |

Event | Fourteenth International Conference on Hyperbolic Problems - Duration: 1 Jan 2012 → … |

### Conference

Conference | Fourteenth International Conference on Hyperbolic Problems |
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Period | 1/01/12 → … |

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## Cite this

Marques, M. F. D. A. C. S. (2014). The inviscid limit for slip boundary conditions. In

*AIMS Series on Applied Mathematics - Hyperbolic Problems: Theory, Numerics, Applications*(pp. 431-438)