Du modèle BGK de l'équation de Boltzmann aux équations d'Euler des fluides incompressibles. (From the BGK Boltzmann model to the Euler equations of incompressible fluids)

DOI10.1016/S0007-4497(02)01125-9zbMath1023.76042OpenAlexW1979173540MaRDI QIDQ1865006

Laure Saint-Raymond

Publication date: 23 March 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(02)01125-9

zbMATH Keywords

stabilityEuler equationsBoltzmann equationhydrodynamic limitBGK modelincompressible fluidslocal conservation lawsrelative entropy methodscaled BGK equations

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Foundations of fluid mechanics (76A02)

Related Items (6)

The BGK model with external confining potential: existence, long-time behaviour and time-periodic Maxwellian equilibria ⋮ Passage from the Boltzmann equation with diffuse boundary to the incompressible Euler equation with heat convection ⋮ Strong solutions to the inhomogeneous Navier-Stokes-BGK system ⋮ From the Boltzmann equation to an incompressible Navier-Stokes-Fourier system ⋮ Cauchy problem for the ellipsoidal-BGK model of the Boltzmann equation ⋮ Hydrodynamic limits: Some improvements of the relative entropy method

Cites Work

• Unnamed Item
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• Global existence to the BGK model of Boltzmann equation
• Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data
• Regularity of the moments of the solution of a transport equation
• Entropy dissipation rate and convergence in kinetic equations
• The mathematical theory of dilute gases
• The acoustic limit for the Boltzmann equation
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• DISCRETE TIME NAVIER-STOKES LIMIT FOR THE BGK BOLTZMANN EQUATION
• Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs
• convergence of the vlasov-poisson system to the incompressible euler equations
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II

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