This research derives a small-angle limit for the four-wave equation in the generic framework, revealing its structure.
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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Duong et al. (2025) studied this question.
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