Analytical solution of the strong evaporation (condensation) problem

DOI10.1007/BF01049793zbMath0811.76080OpenAlexW2007136186MaRDI QIDQ1339630

A. V. Latyshev, A. A. Yushkanov

Publication date: 6 December 1994

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01049793

zbMATH Keywords

existenceuniquenessRiemann-Hilbert problemfactorizationcharacteristic equationdiagonalizationbranch pointsgeneralized eigenvectorsBGK collision operator

Mathematics Subject Classification ID

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

Cites Work

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• Boundary value problems in abstract kinetic theory
• Non-existence of a steady rarefied supersonic flow in a half-space
• Strong evaporation into a half space
• Strong evaporation into a half space. II. The three-dimensional BGK model
• Analytical solutions to two matrix Riemann-Hilbert problems
• The use of Case's method to solve the linearized BGK equations for the temperature-jump problem
• Exact solutions of model BGK Boltzmann equation in temperature jump and weak evaporation problems
• Analytic solution of the ellipsoidal-statistical model Boltzmann equation

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