A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation

DOI10.1007/BF00944883zbMath0565.76077OpenAlexW2055416231MaRDI QIDQ1058929

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/bf00944883

zbMATH Keywords

canonical solutionmatrix Riemann-Hilbert problemoscillating infinite platesound propagation in a half spacetime-dependent boundary value problems

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Hydro- and aero-acoustics (76Q05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (2)

Sound propagation through a rarefied gas confined between source and receptor at arbitrary Knudsen number and sound frequency ⋮ Nonstationary boundary problem for model kinetic equations at critical parameters

Cites Work

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• A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis
• The H matrix for time-dependent problems in rarefied gas dynamics
• On partial indices for a matrix Riemann-Hilbert problem
• An analytical expression for the H-matrix relevant to Rayleigh scattering
• On a class of atmospheres occurring in stellar hydrodynamic theory
• Propagation of Sound in a Gas of Rigid Spheres
• 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
• Discrete spectrum basic to kinetic theory
• Linearized Boundary Value Problem for a Gas and Sound Propagation

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