Nonlinear resonant oscillations of a gas in a tube under the action of a periodically varying pressure
type: Item
instance of: scholarly article
title: Nonlinear resonant oscillations of a gas in a tube under the action of a periodically varying pressure
zbMATH Open document ID: 0574.76067
DOI: 10.1016/0021-8928(83)90089-8
author: B. George
published in: Journal of Applied Mathematics and Mechanics
publication date: 1984-01-01T00:00:00Z
review text: One-dimensional nonlinear motions of an ideal gas in a tube are considered. The tube is closed at one end, and the pressure, periodically varying with time, is specified at the other end. Nonlinear asymptotic equations controlling the periodic oscillation of the gas are obtained for the frequency range close to the resonance frequencies. The complete problem of integrating the system of partial differential equations of gas dynamics is reduced to finding the solution of a single functional equation. Two different solutions exist, one smooth, and another containing strong discontinuities.
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3917972
zbMATH Keywords: periodically varying pressure
zbMATH Keywords: smooth solution
zbMATH Keywords: solution with strong discontinuities
zbMATH Keywords: One-dimensional nonlinear motions
zbMATH Keywords: ideal gas in a tube
zbMATH Keywords: Nonlinear asymptotic equations
zbMATH Keywords: periodic oscillation of the gas
zbMATH Keywords: frequency range close to the resonance frequencies
MaRDI profile type: Publication
full work available at URL: 0021-8928(83)90089-8
OpenAlex ID: W2061531248
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description: scientific article; zbMATH DE number 3917972