Abstract
| Lingua originale | English |
|---|---|
| pagine (da-a) | 1-16 |
| Numero di pagine | 16 |
| Rivista | Acta Mathematicae Applicatae Sinica |
| Volume | 35 |
| Stato di pubblicazione | Published - 2019 |
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A Formal Passage From a System of Boltzmann Equations for Mixtures Towards a Vlasov-Euler System of Compressible Fluids. / Desvillettes, L.; Golse, F.
In: Acta Mathematicae Applicatae Sinica, Vol. 35, 2019, pag. 1-16.Risultato della ricerca: Article
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TY - JOUR
T1 - A Formal Passage From a System of Boltzmann Equations for Mixtures Towards a Vlasov-Euler System of Compressible Fluids
AU - Desvillettes, L.; Golse, F.
AU - Ricci, Valeria
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
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 -