DISCRETE TIME NAVIER-STOKES LIMIT FOR THE BGK BOLTZMANN EQUATION

DOI10.1081/PDE-120002785zbMath1009.35071OpenAlexW3150781290MaRDI QIDQ4532827

Laure Saint-Raymond

Publication date: 5 June 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120002785

zbMATH Keywords

kinetic equationBGK equationhydrodynamic limits

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (18)

BGK Model for Two-Component Gases Near a Global Maxwellian ⋮ The BGK equation as the limit of an \(N\)-particle system ⋮ Strong solutions to the inhomogeneous Navier-Stokes-BGK system ⋮ The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels ⋮ Cauchy problem for the ellipsoidal BGK model for polyatomic particles ⋮ Ellipsoidal BGK model for polyatomic molecules near Maxwellians: a dichotomy in the dissipation estimate ⋮ Classical solutions for the ellipsoidal BGK model with fixed collision frequency ⋮ Smooth solutions to the BGK equation and the ES-BGK equation with infinite energy ⋮ Entropy production for ellipsoidal BGK model of the Boltzmann equation ⋮ Global existence and uniqueness to the Cauchy problem of the BGK equation with infinite energy ⋮ From the BGK model to the Navier–Stokes equations ⋮ Global weak solutions to the relativistic BGK equation ⋮ The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials ⋮ Cauchy problem for the ellipsoidal-BGK model of the Boltzmann equation ⋮ Ellipsoidal BGK model near a global Maxwellian in the whole space ⋮ Ellipsoidal BGK Model Near a Global Maxwellian ⋮ Velocity averaging in \(L^1\) for the transport equation ⋮ 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)

Cites Work

• Global existence to the BGK model of Boltzmann equation
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Regularity of the moments of the solution of a transport equation
• Entropy dissipation rate and convergence in kinetic equations
• Averaging regularity results for PDEs under transversality assumptions
• Acoustic and Stokes limits for the Boltzmann equation
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Unnamed Item

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