From kinetic to Navier-Stokes-type equations

DOI10.1016/S0893-9659(97)00077-3zbMath0897.76004MaRDI QIDQ1376777

Mirosław Lachowicz

Publication date: 25 October 1998

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

zbMATH Keywords

existenceheat conductionsingularly perturbed problemviscositycompressible fluidssmall parameterszeroth approximationsymmetrized kernels

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of liquids (82D15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

FROM MICROSCOPIC TO MACROSCOPIC DESCRIPTION FOR GENERALIZED KINETIC MODELS ⋮ The solution of the nonlinear Boltzmann equation: A survey of analytic and computational methods ⋮ Nonlinear kinetic equations with dissipative collisions ⋮ From the Boltzmann equation to generalized kinetic models in applied sciences ⋮ On the hydrodynamic limit of the Enskog equation ⋮ Is the linearized Boltzmann-Enskog operator dissipative? ⋮ On the asymptotic analysis of the Boltzmann equation tending towards the Stokes equations

Cites Work

• Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
• On the limit of the nonlinear Enskog equation corresponding with fluid dynamics
• Solutions of nonlinear kinetic equations on the level of the Navier- Stokes dynamics
• Incompressible navier-stokes and euler limits of the boltzmann equation
• On the Enskog Equation with Large Initial Data
• On the Enskog equation in two space variables
• Asymptotic expansions of solutions for the Boltzmann equation
• On the convergence of solutions of the enskog equation to solutions of the boltzmann equation
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• The Boltzmann equation in the kinetic theory of gases
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