GENERIC formulation and small-angle limit for Kinetic wave equations
Analysis of PDEs
2025-08-20 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2508.13871,
title = {GENERIC formulation and small-angle limit for Kinetic wave equations},
author = {Manh Hong Duong and Zihui He},
journal= {arXiv preprint arXiv:2508.13871},
year = {2025}
}