### Abstract

A formal asymptotics leading from a system of Boltzmann equations for mixtures towards either Vlasov-Navier-Stokes or Vlasov-Stokes equations of incompressible fluids was established by the same authors and Etienne Bernard in [1] and [2]. With the same starting point but with a different scaling, we establish here a formal asymptotics leading to the Vlasov-Euler system of compressible fluids. Explicit formulas for the coupling terms are obtained in two typical situations: for elastic hard spheres on one hand, and for collisions corresponding to the inelastic interaction with a macroscopic dust speck on the other hand.

Lingua originale | English |
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pagine (da-a) | 158-173 |

Numero di pagine | 16 |

Rivista | Acta Mathematicae Applicatae Sinica |

Volume | 35 |

Stato di pubblicazione | Published - 2019 |

### All Science Journal Classification (ASJC) codes

- Applied Mathematics

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## Cita questo

Ricci, V., Golse, F., & Desvillettes, L. (2019). A Formal Passage From a System of Boltzmann Equations for Mixtures Towards a Vlasov-Euler System of Compressible Fluids.

*Acta Mathematicae Applicatae Sinica*,*35*, 158-173.