Regular perturbation for first order PDE - Resonant oscillations
Abstract
The regular perturbation of problems involving systems of first-order 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