Turbulence and capillary waves on bubbles

We present a link between the theory of deep water waves and that bubble surface perturbations. Theory correspondence is shown analytically for small wavelengths in linear regime investigated numerically nonlinear regime. To do so, we develop second-order spatial perturbation equations Rayleigh-Plesset equation solve them numerically. Our code publicly available. Studying capillary on stable bubbles, recreate Kolmogorov-Zakharov spectrum predicted by weak turbulence theory, putting wave to use bubbles. In this investigation, it seems curvature does not affect turbulent properties. Calculated qualitatively responds low gravity experiments. The demonstrated opens new possibilities studying several phenomena, including sonoluminescence cavitation, using extensive tools developed framework.