Non-existence of a steady rarefied supersonic flow in a half-space
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Publication:1147596
DOI10.1007/BF01596163zbMath0449.76056MaRDI QIDQ1147596
M. D. Arthur, Carlo Cercignani
Publication date: 1980
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
uniquenesslinearizationBoltzmann equationboundary value problemWiener-Hopf factorizationresolvent techniqueone-dimensional BGK model
Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)
Related Items (26)
Analytical solution of the strong evaporation (condensation) problem ⋮ Half-space problems for the Boltzmann equation: a survey ⋮ Numerical analysis of steady flows of a gas condensing on or evaporating from its plane condensed phase on the basis of kinetic theory: Effect of gas motion along the condensed phase ⋮ Strong solutions of stationary equations in abstract kinetic theory ⋮ A boundary value problem for the two dimensional Broadwell model ⋮ An abstract model for strong evaporation ⋮ A Discrete-Ordinates Solution for the Strong Evaporation Problem in Rarefied Gas Dynamics ⋮ A classification of well-posed kinetic layer problems ⋮ Strong evaporation into a half space ⋮ Strong evaporation into a half space. II. The three-dimensional BGK model ⋮ On nonlinear stationary half-space problems in discrete kinetic theory. ⋮ Analytical solutions to two matrix Riemann-Hilbert problems ⋮ An analytical approach to the strong evaporation problem in rarefied gas dynamics ⋮ Kinetic theory analysis of the two-surface problem of a vapor–vapor mixture in the continuum limit ⋮ Vapor flows condensing at incidence onto a plane condensed phase in the presence of a noncondensable gas. I. Subsonic condensation ⋮ A review of the facile (FN) method in particle transport theory ⋮ Albedo operators and H-equations for generalized kinetic models ⋮ Numerical analysis of gas flows condensing on its plane condensed phase on the basis of kinetic theory ⋮ Evaporation of a rarefied gas from a cylindrical condensed phase into a vacuum ⋮ Kinetic theory analysis of steady evaporating flows from a spherical condensed phase into a vacuum ⋮ Boundary conditions at the vapor-liquid interface ⋮ The half-space problem for the Boltzmann equation with phase transition at the boundary ⋮ 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 boundary value problems modeling transport processes in semi-infinite geometry
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- Solution of neutron transport problems inL1
- Analytic solution of the temperature jump problem for the BGK model
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