On nonlinear stationary half-space problems in discrete kinetic theory.

DOI10.1007/BF01019733zbMath1084.82561OpenAlexW2075799482MaRDI QIDQ1963528

Mario Pulvirenti, Carlo Cercignani, Marvin Shinbrot, Reinhard Illner

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01019733

zbMATH Keywords

Boltzmann equationhalf-space problemsteady discrete velocity models

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (12)

Half-space problems for the Boltzmann equation: a survey ⋮ Large-time behavior of solutions to the discrete Boltzmann equation in the half-space ⋮ A boundary value problem for the two dimensional Broadwell model ⋮ Global solutions to the initial-boundary value problems for the discrete Boltzmann equation ⋮ Discrete quantum kinetic equation ⋮ Existence and stability of stationary solutions to the discrete Boltzmann equation ⋮ Unnamed Item ⋮ Boundary layers for discrete kinetic models: multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equations ⋮ Temperature and pressure criteria for half-space discrete velocity models ⋮ Unnamed Item ⋮ Steady solutions of the nonlinear Boltzmann equation ⋮ Measure solutions of the steady Boltzmann equation in a slab

Cites Work

• An abstract approach to evaporation models in rarefied gas dynamics
• Kinetic theory of a dense gas of rough spheres
• A boundary value problem for discrete-velocity models
• An abstract treatment of some forward-backward problems of transport and scattering
• Non-existence of a steady rarefied supersonic flow in a half-space
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Elementary solutions of the linearized gas-dynamics Boltzmann equation and their application to the slip-flow problem
• Über die Methode der a priori-Schranken
• Asymptotic Theory of the Boltzmann Equation
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