Incompressible Navier-Stokes limit for the Enskog equation

DOI10.1016/S0893-9659(00)00084-7zbMath0983.82014OpenAlexW2003061227MaRDI QIDQ1586308

S. Jagodziński, Mirosław Lachowicz

Publication date: 13 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00084-7

zbMATH Keywords

singularly perturbed problemglobal existenceNavier-Stokes equationMach numbermacroscopic limitBoussinesq relationKnudsen numberEnskog kinetic equationscale of the diameter

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)

Related Items (3)

Is the linearized Boltzmann-Enskog operator dissipative? ⋮ On Two Incompressible Hydrodynamic Limits of the Boltzmann–Enskog Equation. I. Formal Derivations ⋮ On Two Incompressible Hydrodynamic Limits of the Boltzmann–Enskog Equation II: A Rigorous Result

Cites Work

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• Global existence in \(L^ 1\) for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation
• On the modified Enskog equation for elastic and inelastic collisions. Models with spin
• Incompressible navier-stokes and euler limits of the boltzmann equation
• On the Enskog Equation with Large Initial Data
• THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• On the hydrodynamic limit of the Enskog equation

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