### Abstract

We consider the convergence in the L2 norm uniformly in time of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions We prove that if the Oleinik conditions of no back-flow in the trace of the Euler flow and of a lower bound for the Navier-Stokes vorticity is assumed in a Kato-like boundary layer then the inviscid limit holds.

Original language | English (US) |
---|---|

Pages (from-to) | 3075-3090 |

Number of pages | 16 |

Journal | Proceedings of the American Mathematical Society |

Volume | 143 |

Issue number | 7 |

DOIs | |

State | Published - 2015 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Keywords

- Boundary layer
- Euler equations
- Inviscid limit
- Navier-Stokes equations

## Fingerprint Dive into the research topics of 'On the inviscid limit of the navier-stokes equations'. Together they form a unique fingerprint.

## Cite this

Constantin, P., Kukavica, I., & Vicol, V. (2015). On the inviscid limit of the navier-stokes equations.

*Proceedings of the American Mathematical Society*,*143*(7), 3075-3090. https://doi.org/10.1090/S0002-9939-2015-12638-X