Open AccessAsymptotical approximation of one dimensional gas dynamics problem
Author(s) -
Aleksandras Krylovas,
Olga Lavcel-Budko
Publication year - 2013
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2013.10
Subject(s) - polytropic process , nonlinear system , gas dynamics , ideal gas , dynamics (music) , interval (graph theory) , resonance (particle physics) , ideal (ethics) , physics , statistical physics , mathematics , classical mechanics , mathematical analysis , mechanics , acoustics , quantum mechanics , philosophy , epistemology , combinatorics
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.