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arXiv · 2508.09799

Stability of stationary solutions in Acoustic wave turbulence

Guillaume Costa·Giorgio Krstulovic·Sergey Nazarenko
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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.

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Guillaume Costa, Giorgio Krstulovic, Sergey Nazarenko. 2025-08-13. Stability of stationary solutions in Acoustic wave turbulence. https://doi.org/10.1103/j1hs-b71h

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