On the derivation of hydrodynamics from the Boltzmann equation

DOI10.1063/1.870097zbMath1147.76383OpenAlexW2054325680MaRDI QIDQ3539174

Raffaele Esposito, Rossana Marra, Joel L. Lebowitz

Publication date: 17 November 2008

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.870097

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Foundations of fluid mechanics (76A02)

Related Items (10)

On the dependence of the Navier-Stokes equations on the distribution of molecular velocities ⋮ A MODEL FOR THE COMPRESSIBLE FLOW THROUGH A POROUS MEDIUM ⋮ Certain aspects of an ``incompressible fluid`` model in gas dynamics ⋮ Sharp interface motion of a binary fluid mixture ⋮ From fluctuating kinetics to fluctuating hydrodynamics: a \(\Gamma \)-convergence of large deviations functionals approach ⋮ Lattice Boltzmann simulations of impedance tube flows ⋮ Probability as typicality ⋮ Diffusion equations from kinetic models with non-conserved momentum ⋮ Unified turbulence models for LES and RANS, FDF and PDF simulations ⋮ Notes about the macroscopic fluctuating theory

Cites Work

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• Lattice gases, large deviations, and the incompressible Navier-Stokes equations
• Solutions to the Boltzmann equation in the Boussinesq regime
• Hydrodynamical limit for a Hamiltonian system with weak noise
• Hydrodynamic limit of the stationary Boltzmann equation in a slab
• The Navier-Stokes limit of stationary solutions of the nonlinear Boltzmann equation.
• On the derivation of the incompressible Navier-Stokes equation for Hamiltonian particle systems
• Exact solution of the totally asymmetric simple exclusion process: shock profiles
• Incompressible navier-stokes and euler limits of the boltzmann equation
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• The fluid dynamic limit of the nonlinear boltzmann equation
• Compressible and incompressible fluids
• The Bénard problem for a rarefied gas: Formation of steady flow patterns and stability of array of rolls

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