Discrete wave turbulence of rotational capillary water waves

TL;DR

This paper investigates the discrete wave turbulence of rotational capillary water waves, deriving a Hamiltonian framework, analyzing resonance clustering, and discussing physical implications of these turbulent regimes.

Contribution

It introduces an explicit Hamiltonian formulation for rotational capillary water waves and explores resonance clustering in the discrete wave turbulence regime.

Findings

Derived the Hamiltonian formulation and coupling coefficients.

Constructed and analyzed resonance clustering.

Discussed physical implications of turbulence regimes.

Abstract

We study the discrete wave turbulent regime of capillary water waves with constant non-zero vorticity. The explicit Hamiltonian formulation and the corresponding coupling coefficient are obtained. We also present the construction and investigation of resonance clustering. Some physical implications of the obtained results are discussed.