Regular perturbation for first order PDE  Resonant oscillations
Abstract
The regular perturbation of problems involving systems of firstorder partial differential equations (PDEs) is studied, generalizing the model for the resonant oscillations of a gas in a closed tube. At the first order, the waves do not interact; the interaction of waves is calculated at the second order.
 Publication:

Journal of Mathematical and Physical Sciences
 Pub Date:
 October 1985
 Bibcode:
 1985JMPS...19..377L
 Keywords:

 Asymptotic Series;
 Gas Dynamics;
 Oscillations;
 Partial Differential Equations;
 Perturbation Theory;
 Piston Theory;
 Boundary Value Problems;
 Gas Tubes;
 Integral Equations;
 Mach Number;
 Periodic Functions;
 Wave Interaction;
 Fluid Mechanics and Heat Transfer