Asymptotical approximation of one dimensional gas dynamics problem

Asymptotical approximation of one dimensional gas dynamics problem

We analyze nonlinear one dimensional gas dynamics system. The constructed asymptotic approximation which describes periodic acoustics waves resonant interaction is uniformly valid in the long time interval. The results allow to determine the resonance conditions for the emergence and summarizes the...

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Bibliographic Details
Main Authors: Aleksandras Krylovas, Olga Lavcel-Budko
Format: Article
Language:English
Published: Vilnius University Press 2013-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
gas dynamic
acoustic waves
resonance
asymptotics methods
Online Access:https://www.journals.vu.lt/LMR/article/view/17150
Description
Summary:We analyze nonlinear one dimensional gas dynamics system. The constructed asymptotic approximation which describes periodic acoustics waves resonant interaction is uniformly valid in the long time interval. The results allow to determine the resonance conditions for the emergence and summarizes the previous analyzed polytropic ideal-gas case.
ISSN:0132-2818
2335-898X

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