A method of averaging is developed for constructing a uniformly valid asymptotic solution for weakly nonlinear one dimensional gas dynamics systems. Using this method we give the averaged system, which disintegrates into independent equations for the non-resonance systems. Conditions of the resonance for periodic and almost periodic solutions are presented. In the resonance case the averaged system is solved numerically. Some results of numerical experiments are given.
|Number of pages||12|
|Journal||Mathematical Modelling and Analysis|
|Publication status||Published - 2001|
ASJC Scopus subject areas
- Modelling and Simulation