We derive an asymptotic solution of the one-dimensional compressible Euler equations that describe the resonant interaction of small amplitude sound waves with a large amplitude entropy wave. The large entropy variations are assumed to occur only in small regions. We show that the sound wave amplitudes satisfy a two-by-two system of strictly hyperbolic partial differential equations with a quadratic flux.
The Resonant Interaction of Sound Waves with a Large Amplitude Entropy Wave
ALI', Giuseppe;
2000-01-01
Abstract
We derive an asymptotic solution of the one-dimensional compressible Euler equations that describe the resonant interaction of small amplitude sound waves with a large amplitude entropy wave. The large entropy variations are assumed to occur only in small regions. We show that the sound wave amplitudes satisfy a two-by-two system of strictly hyperbolic partial differential equations with a quadratic flux.File in questo prodotto:
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