### Abstract

This chapter is devoted to the study of some asymptotic problems in hydrodynamics. In particular, we will review results about the inviscid limit, the compressible-incompressible limit, the study of rotating fluids at high frequency, the hydrodynamic limit of the Boltzmann equation as well as some homogenization problems in fluid mechanics.

Original language | English (US) |
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Title of host publication | Handbook of Differential Equations: Evolutionary Equations |

Pages | 195-275 |

Number of pages | 81 |

Volume | 3 |

DOIs | |

State | Published - 2007 |

### Publication series

Name | Handbook of Differential Equations: Evolutionary Equations |
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Volume | 3 |

ISSN (Print) | 18745717 |

### Fingerprint

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics
- Numerical Analysis

### Cite this

*Handbook of Differential Equations: Evolutionary Equations*(Vol. 3, pp. 195-275). (Handbook of Differential Equations: Evolutionary Equations; Vol. 3). https://doi.org/10.1016/S1874-5717(07)80006-5

**Chapter 3 Examples of singular limits in hydrodynamics.** / Masmoudi, Nader.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Handbook of Differential Equations: Evolutionary Equations.*vol. 3, Handbook of Differential Equations: Evolutionary Equations, vol. 3, pp. 195-275. https://doi.org/10.1016/S1874-5717(07)80006-5

}

TY - CHAP

T1 - Chapter 3 Examples of singular limits in hydrodynamics

AU - Masmoudi, Nader

PY - 2007

Y1 - 2007

N2 - This chapter is devoted to the study of some asymptotic problems in hydrodynamics. In particular, we will review results about the inviscid limit, the compressible-incompressible limit, the study of rotating fluids at high frequency, the hydrodynamic limit of the Boltzmann equation as well as some homogenization problems in fluid mechanics.

AB - This chapter is devoted to the study of some asymptotic problems in hydrodynamics. In particular, we will review results about the inviscid limit, the compressible-incompressible limit, the study of rotating fluids at high frequency, the hydrodynamic limit of the Boltzmann equation as well as some homogenization problems in fluid mechanics.

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U2 - 10.1016/S1874-5717(07)80006-5

DO - 10.1016/S1874-5717(07)80006-5

M3 - Chapter

SN - 9780444528483

VL - 3

T3 - Handbook of Differential Equations: Evolutionary Equations

SP - 195

EP - 275

BT - Handbook of Differential Equations: Evolutionary Equations

ER -