### Abstract

Original language | English |
---|---|

Pages (from-to) | 1-16 |

Number of pages | 16 |

Journal | Acta Mathematicae Applicatae Sinica |

Volume | 35 |

Publication status | Published - 2019 |

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### All Science Journal Classification (ASJC) codes

- Applied Mathematics

### Cite this

*Acta Mathematicae Applicatae Sinica*,

*35*, 1-16.

**A Formal Passage From a System of Boltzmann Equations for Mixtures Towards a Vlasov-Euler System of Compressible Fluids.** / Ricci, Valeria; Golse, François; Desvillettes, Laurent.

Research output: Contribution to journal › Article

*Acta Mathematicae Applicatae Sinica*, vol. 35, pp. 1-16.

}

TY - JOUR

T1 - A Formal Passage From a System of Boltzmann Equations for Mixtures Towards a Vlasov-Euler System of Compressible Fluids

AU - Ricci, Valeria

AU - Golse, François

AU - Desvillettes, Laurent

PY - 2019

Y1 - 2019

N2 - A formal asymptotics leading from a system of Boltzmann equations for mixtures towards eitherVlasov-Navier-Stokes or Vlasov-Stokes equations of incompressible fluids was established by the sameauthors and Etienne Bernard in [1] and [2]. With the same starting point but with a different scaling, weestablish here a formal asymptotics leading to the Vlasov-Euler system of compressible fluids. Explicit formulasfor the coupling terms are obtained in two typical situations: for elastic hard spheres on one hand, and forcollisions corresponding to the inelastic interaction with a macroscopic dust speck on the other hand.

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

UR - http://hdl.handle.net/10447/332880

M3 - Article

VL - 35

SP - 1

EP - 16

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

SN - 0168-9673

ER -