Kinetic boundary layers: On the adequate discretization of the Boltzmann collision operator

DOI10.1016/S0377-0427(99)00196-XzbMath0939.76085OpenAlexW2074595793WikidataQ127012779 ScholiaQ127012779MaRDI QIDQ1807807

Hans Babovsky

Publication date: 23 November 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00196-x

zbMATH Keywords

existenceuniquenesswell-posednessdiscrete velocity modelsdiscretization of Boltzmann collision operatorlinerized kinetic boundary layers

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Basic methods in fluid mechanics (76M99)

Related Items (5)

A KINETIC MULTISCALE MODEL ⋮ Discrete kinetic models in the fluid dynamic limit ⋮ Boundary layers for discrete kinetic models: multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equations ⋮ A DISCRETE BOLTZMANN EQUATION BASED ON HEXAGONS ⋮ Macroscopic limit for an evaporation-condensation problem

Cites Work

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• On a boundary layer problem for the nonlinear Boltzmann equation
• Discretization and numerical schemes for steady kinetic model equations
• A new contribution to nonlinear stability of a discrete velocity model
• Discrete model collision operators of Boltzmann type
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• Steady solutions of the nonlinear Boltzmann equation
• A direct method for solving the Boltzmann equation
• An inverse model problem in kinetic theory

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