A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis

DOI10.1007/BF00947927zbMath0545.76078OpenAlexW2044349491MaRDI QIDQ798200

Carlo Cercignani, Kazuo Aoki

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00947927

zbMATH Keywords

closed form solutionsmatrix Riemann-Hilbert problemtime-dependent BGK model

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (4)

Analytical solution of the velocity-slip and diffuslon-slip problems by a cauchy integral method ⋮ Nonstationary boundary problem for model kinetic equations at critical parameters ⋮ A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation ⋮ Analysis of thermal and shear waves according to the BKG kinetic model

Cites Work

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• An analytical solution to a matrix Riemann-Hilbert problem
• An analytical expression for the H-matrix relevant to Rayleigh scattering
• Half-range orthogonality relations basic to the solution of time- dependent boundary value problems in the kinetic theory of gases
• Sound-wave propagation in a rarefied gas
• Analytic solution of the temperature jump problem for the BGK model
• Sound-wave propagation in a rarefied gas
• Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces

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