Kinetic equations in a third-generation spectral wave model

The Hasselmann kinetic equation (HKE) forms the cornerstone of present-day spectral wave models. It describes the redistribution of energy over the wave spectrum as a result of resonant four-wave interactions, and theoretically prescribes wave evolution on a slow time scale for the spectral peak downshift and angular broadening, indicating that the HKE, solved by the well-established Webb–Resio–Tracy algorithm, seems more robust than usually expected.