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  and . 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.
|Numero di pagine||16|
|Rivista||Acta Mathematicae Applicatae Sinica|
|Stato di pubblicazione||Published - 2019|
All Science Journal Classification (ASJC) codes
- Applied Mathematics
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.