Stability of stationary solutions in Acoustic wave turbulence
Chaotic Dynamics
2026-02-16 v2 Other Condensed Matter
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.
Keywords
Cite
@article{arxiv.2508.09799,
title = {Stability of stationary solutions in Acoustic wave turbulence},
author = {Guillaume Costa and Giorgio Krstulovic and Sergey Nazarenko},
journal= {arXiv preprint arXiv:2508.09799},
year = {2026}
}
Comments
23 pages (15 belonging to main text), 11 figures (9 belonging to main text)