Strong evaporation into a half space. II. The three-dimensional BGK model

DOI10.1007/BF00944971zbMath0491.76101OpenAlexW2090266148MaRDI QIDQ1167643

J. R. jun. Thomas, C. E. Siewert

Publication date: 1982

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944971

zbMATH Keywords

singular integral equationscoupled integral equationselementary solutions methodstrong evaporation into a half spacedrifting Maxwell distributionthree dimensional case

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (16)

Linear Transport in Porous Media ⋮ Analytical solution of the strong evaporation (condensation) problem ⋮ An analytic solution of the problem of the temperature jumps and vapour density over a surface when there is a temperature gradient ⋮ The F_N-method in kinetic theory I. Half-space problems ⋮ The F_N-method in kinetic theory: II. Heat transfer between parallel plates ⋮ An abstract model for strong evaporation ⋮ A Discrete-Ordinates Solution for the Strong Evaporation Problem in Rarefied Gas Dynamics ⋮ On partial indices for a matrix Riemann-Hilbert problem ⋮ Analytical solutions to two matrix Riemann-Hilbert problems ⋮ An analytical approach to the strong evaporation problem in rarefied gas dynamics ⋮ A review of the facile (F_N) method in particle transport theory ⋮ A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems. ⋮ An abstract approach to evaporation models in rarefied gas dynamics ⋮ Stationary transport processes with unbounded collision operators ⋮ Abstract kinetic equations relevant to supercritical media ⋮ Abstract boundary value problems modeling transport processes in semi-infinite geometry

Cites Work

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• Elementary solutions of the transport equation and their applications
• Non-existence of a steady rarefied supersonic flow in a half-space
• Strong evaporation into a half space
• Elementary solutions of coupled model equations in the kinetic theory of gases
• Elementary solutions of the linearized gas-dynamics Boltzmann equation and their application to the slip-flow problem
• A concise and accurate solution for Poiseuille flow in a plane channel

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