Stability of stationary solutions in Acoustic wave turbulence
arXiv:2508.09799 · doi: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 2D and 3D equilibrium Rayleigh-Jeans and non-equilibrium Kolmogorov-Zakharov solutions. In particular, we show that the stability of these solutions is ensured by different mechanisms.
23 pages (15 belonging to main text), 11 figures (9 belonging to main text)
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