The use of Case's method to solve the linearized BGK equations for the temperature-jump problem

DOI10.1016/0021-8928(90)90059-JzbMath0739.76064OpenAlexW2047197433MaRDI QIDQ1185626

A. V. Latyshev

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8928(90)90059-j

zbMATH Keywords

fundamental matrixeigenvaluesRiemann-Hilbert problemeigenvectorsrarefied gasCase's methodtemperature-jump problem

Mathematics Subject Classification ID

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

Related Items (6)

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 ⋮ Boundary integrability of nonlinear sigma models ⋮ Smolukhovsky problem for electrons in a metal ⋮ Smoluchowski problem for metals with mirror-diffusive boundary conditions ⋮ Temperature jump in degenerate quantum gases with the Bogoliubov excitation energy and in the presence of the Bose-Einstein condensate

Cites Work

• Elementary solutions of the transport equation and their applications
• An analytical solution to a matrix Riemann-Hilbert problem
• 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
• Analytic solution of the temperature jump problem for the BGK model

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