From the BGK Boltzmann model to the Euler equations of incompressible fluids

Bulletin des Sciences Mathematiques

Volumn 126, Issue 6, 2002, Pages 493-506

  Saint Raymond, Laure ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

BGK model; Euler equations; Hydrodynamic limits; Incompressible fluids; Kinetic equation; Relative entropy method; Stability

Indexed keywords

EID: 0036331819     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0007-4497(02)01125-9     Document Type: Article

References (16)

1. Global existence for the Vlasov-Poisson equation in espace variables with small initial data
2. Fluid dynamic limits of kinetic equations I. Formal derivations
3. Fluid dynamic limits of kinetic equations II. Convergence proofs for the Boltzmann equation
4. The acoustic limit for the Boltzmann equation
5. A model for collision processes in gases
6. Kinetic equations and asymptotic theory
7. Convergence of the Vlasov-Poisson system to the incompressible Euler equations
8. Entropy dissipation rate and convergence in kinetic equations
9. The Stokes-Fourier and acoustic limits for the Boltzmann equation
10. Regularity of the moments of the solution of a transport equation
11. Mathematical Topics in Fluid Mechanics. Vol. 1: Incompressible Models
12. From the Boltzmann equation to the equations of incompressible fluid mechanics II
13. Global existence to the BGK Model of Boltzmann equation
14. Discrete time Navier-Stokes limit for the BGK Boltzmann equation
15. From the BGK Boltzmann equation to the Navier-Stokes equations