### Abstract

We consider here the problem of deriving rigorously from Boltzmann's equation, globally in time and for general initial conditions, fluid mechanics equations such as the Navier-Stokes or Euler equations.

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

Pages (from-to) | 173-193 |

Number of pages | 21 |

Journal | Archive for Rational Mechanics and Analysis |

Volume | 158 |

Issue number | 3 |

DOIs | |

State | Published - 2001 |

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### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Mathematics(all)
- Mathematics (miscellaneous)

### Cite this

**From the Boltzmann equations to the equations of incompressible fluid mechanics, I.** / Lions, P. L.; Masmoudi, N.

Research output: Contribution to journal › Article

*Archive for Rational Mechanics and Analysis*, vol. 158, no. 3, pp. 173-193. https://doi.org/10.1007/s002050100143

}

TY - JOUR

T1 - From the Boltzmann equations to the equations of incompressible fluid mechanics, I

AU - Lions, P. L.

AU - Masmoudi, N.

PY - 2001

Y1 - 2001

N2 - We consider here the problem of deriving rigorously from Boltzmann's equation, globally in time and for general initial conditions, fluid mechanics equations such as the Navier-Stokes or Euler equations.

AB - We consider here the problem of deriving rigorously from Boltzmann's equation, globally in time and for general initial conditions, fluid mechanics equations such as the Navier-Stokes or Euler equations.

UR - http://www.scopus.com/inward/record.url?scp=0035616508&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035616508&partnerID=8YFLogxK

U2 - 10.1007/s002050100143

DO - 10.1007/s002050100143

M3 - Article

AN - SCOPUS:0035616508

VL - 158

SP - 173

EP - 193

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

SN - 0003-9527

IS - 3

ER -