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

Valeria Ricci, François Golse, Laurent Desvillettes

Risultato della ricerca: Article

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 originaleEnglish
pagine (da-a)158-173
Numero di pagine16
RivistaActa Mathematicae Applicatae Sinica
Volume35
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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