Asymptotical approximation of one dimensional gas dynamics problem

Aleksandras  Krylovas; Olga  Lavcel-Budko

doi:10.15388/LMR.B.2013.10

Articles

Aleksandras Krylovas

Vilniaus Gedimino technikos universitetas

Olga Lavcel-Budko

Mykolo Romerio universitetas

Published 2013-12-20

https://doi.org/10.15388/LMR.B.2013.10

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Keywords

gas dynamic
acoustic waves
resonance
asymptotics methods

How to Cite

Krylovas, A. and Lavcel-Budko, O. (2013) “Asymptotical approximation of one dimensional gas dynamics problem”, Lietuvos matematikos rinkinys, 54(B), pp. 48–53. doi:10.15388/LMR.B.2013.10.

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Abstract

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.

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