On the resonant reflection of weak, nonlinear sound waves off an entropy wave

2018/10/29 by Hunter, John K., Smothers, Evan B.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.11913

Abstract

We derive a degenerate quasilinear Schrödinger equation that describes the resonant reflection of very weak, nonlinear sound waves off a weak sawtooth entropy wave.

Related

• The Nonlinear Theory of Sound
• Planck-Einstein-de Broglie type relations for the acoustic waves
• Exact result for nonreciprocity in one-dimensional wave transmission
• A Sharp Decay Estimate for Positive Nonlinear Waves
• Time-periodic solutions of the compressible Euler equations and the Nonlinear Theory of Sound