GENERIC formulation and small-angle limit for Kinetic wave equations

2025/08/19 by Duong, Manh Hong, He, Zihui · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/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.

Citations

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Cited by

• From the quantum Boltzmann operator to the quantum Landau operator

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