A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis
type: Item
instance of: scholarly article
title: A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis
zbMATH Open document ID: 0545.76078
DOI: 10.1007/BF00947927
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1984-01-01T00:00:00Z
review text: The matrix Riemann-Hilbert problem arising in the time-dependent BGK model, for one-dimensional problems, is analyzed. A general procedure is given which leads to closed form solutions.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
zbMATH DE Number: 3868890
zbMATH Keywords: matrix Riemann-Hilbert problem
zbMATH Keywords: time-dependent BGK model
zbMATH Keywords: closed form solutions
author: Kazuo Aoki
author: Carlo Cercignani
MaRDI profile type: Publication
cites work: Q5585271
cites work: Q4188958
cites work: Half-range orthogonality relations basic to the solution of time- dependent boundary value problems in the kinetic theory of gases
cites work: Q5820804
cites work: Sound-wave propagation in a rarefied gas
cites work: Analytic solution of the temperature jump problem for the BGK model
cites work: An analytical solution to a matrix Riemann-Hilbert problem
cites work: An analytical expression for the H-matrix relevant to Rayleigh scattering
cites work: Q3244562
cites work: Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces
full work available at URL: https://doi.org/10.1007/bf00947927
OpenAlex ID: W2044349491
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description: scientific article; zbMATH DE number 3868890