A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation
type: Item
instance of: scholarly article
title: A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation
zbMATH Open document ID: 0565.76077
DOI: 10.1007/BF00944883
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1984-01-01T00:00:00Z
review text: A technique for time-dependent boundary value problems in the kinetic theory of gases employed earlier in part I [the authors, ibid., 127-143 (1984; Zbl 0545.76078)] is used, to determine a canonical solution of the matrix Riemann-Hilbert problem for sound propagation in a half space of a gas driven by an oscillating infinite plate. The closed form solution is computed numerically for three particular values of the sound frequency. The results compare favourably with a previously known numerical solution.
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 82B40
Mathematics Subject Classification ID: 76P05
zbMATH DE Number: 3902296
zbMATH Keywords: time-dependent boundary value problems
zbMATH Keywords: canonical solution
zbMATH Keywords: matrix Riemann-Hilbert problem
zbMATH Keywords: sound propagation in a half space
zbMATH Keywords: oscillating infinite plate
author: Kazuo Aoki
author: Carlo Cercignani
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00944883
OpenAlex ID: W2055416231
description: scientific article; zbMATH DE number 3902296