Steady solutions of the nonlinear Boltzmann equation

DOI10.1080/00411459808205624zbMath0914.76071OpenAlexW2071565046WikidataQ126241451 ScholiaQ126241451MaRDI QIDQ4211708

Carlo Cercignani

Publication date: 27 June 1999

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

Full work available at URL: https://doi.org/10.1080/00411459808205624

zbMATH Keywords

mass conservationpositive solutionslabchange of variablesdiffuse reflectionMaxwellian moleculesprescribed total mass

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (8)

Discrete velocity models with general boundary conditions in a slab ⋮ An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation ⋮ Stationary Solutions to the Anderson--Witting Model of the Relativistic Boltzmann Equation in a Bounded Interval ⋮ A toy-model study of the grazing collisions in the kinetic theory ⋮ \(L^1\) solutions to the stationary Boltzmann equation in a slab ⋮ Plane Poiseuille Flow with Symmetric and Nonsymmetric Gas‐Wall Interactions ⋮ Kinetic boundary layers: On the adequate discretization of the Boltzmann collision operator ⋮ Unnamed Item

Cites Work

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• Measure solutions of the steady Boltzmann equation in a slab
• A boundary value problem for discrete-velocity models
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• The mathematical theory of dilute gases
• On nonlinear stationary half-space problems in discrete kinetic theory.
• Ein Fixpunktsatz
• Über die Methode der a priori-Schranken

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