On Two Incompressible Hydrodynamic Limits of the Boltzmann–Enskog Equation. I. Formal Derivations

DOI10.1081/TT-120037805zbMath1107.82048OpenAlexW2026907252MaRDI QIDQ4674288

Mirosław Lachowicz, S. Jagodziński

Publication date: 10 May 2005

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/tt-120037805

zbMATH Keywords

singularly perturbed problemkinetic equationhydrodynamic limitNavier-Stokes system

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (1)

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
• Incompressible Navier-Stokes limit for the Enskog equation
• Incompressible navier-stokes and euler limits of the boltzmann equation
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• On a functional equation in mathematical kinetic theory
• FROM MICROSCOPIC TO MACROSCOPIC DESCRIPTION FOR GENERALIZED KINETIC MODELS
• On the hydrodynamic limit of the Enskog equation

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