Stability of stationary solutions in Acoustic wave turbulence
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912901298651136 |
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| author | Costa, Guillaume Krstulovic, Giorgio Nazarenko, Sergey |
| author_facet | Costa, Guillaume Krstulovic, Giorgio Nazarenko, Sergey |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09799 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of stationary solutions in Acoustic wave turbulence Costa, Guillaume Krstulovic, Giorgio Nazarenko, Sergey Chaotic Dynamics Other Condensed Matter 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. |
| title | Stability of stationary solutions in Acoustic wave turbulence |
| topic | Chaotic Dynamics Other Condensed Matter |
| url | https://arxiv.org/abs/2508.09799 |