GENERIC formulation and small-angle limit for Kinetic wave equations
arXiv:2508.13871
Abstract
In this paper, we formulate the three-wave and four-wave kinetic equations into the GENERIC framework and formally derive a small-angle limit for the four-wave equation. This limit is akin to the well-known grazing limit from the kinetic Boltzmann equation to the kinetic Landau equation. We also show the GENERIC structure of the limiting system.
The previous formal small-angle computation has been replaced by the rigorous argument in Theorem 3.1