Stability of stationary solutions in acoustic wave turbulence
Phys. Rev. E 113, 024205 – Published 11 February, 2026
DOI: https://doi.org/10.1103/j1hs-b71h
Abstract
We study the stability of steady-state solutions of the Wave Kinetic Equations for acoustic waves. Combining theoretical analysis and numerical simulations, we characterise the time evolution of small isotropic perturbations for both two- and three-dimensional equilibrium Rayleigh-Jeans and nonequilibrium Kolmogorov-Zakharov solutions. In particular, we show that the stability of these solutions is ensured by different mechanisms.
