2013•Lietuvos matematikos rinkinysOpen access

Asymptotical approximation of one dimensional gas dynamics problem

Aleksandras Krylovas, Olga Lavcel-Budko

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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Key concepts: Polytropic process, Nonlinear system, Gas dynamics, Ideal gas, Dynamics (music), Interval (graph theory), Resonance (particle physics), Ideal (ethics)