GENERIC formulation and small-angle limit for Kinetic wave equations

Published 19 Aug 2025 in math.AP, math-ph, and math.MP | (2508.13871v1)

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.

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