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 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.
Lingua originaleEnglish
pagine (da-a)1-16
Numero di pagine16
RivistaDefault journal
Volume35
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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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.

In: Default journal, Vol. 35, 2019, pag. 1-16.

Risultato della ricerca: Article

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