## Abstract

We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in ℝ. We prove that the rate of dissipation of enstrophy vanishes. Stationary statistical solutions of the damped and driven Navier-Stokes equations converge to renormalized stationary statistical solutions of the damped and driven Euler equations. These solutions obey the enstrophy balance.

Original language | English (US) |
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Pages (from-to) | 529-551 |

Number of pages | 23 |

Journal | Communications In Mathematical Physics |

Volume | 275 |

Issue number | 2 |

DOIs | |

State | Published - Oct 2007 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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