GENERIC Formulation and Small-Angle Limit for Kinetic Wave Equations

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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Publication Details

Journal
Journal of Statistical Physics
Published
2026-09-05
DOI
https://doi.org/10.1007/s10955-026-03685-0
Primary Topic
Computational Fluid Dynamics and Aerodynamics
Type
article
Field-Weighted Citation Impact
0.00

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article

GENERIC Formulation and Small-Angle Limit for Kinetic Wave Equations

Manh Hong Duong, Zihui He
Journal of Statistical Physics
Computational Fluid Dynamics and Aerodynamics
article

GENERIC Formulation and Small-Angle Limit for Kinetic Wave Equations

Manh Hong Duong, Zihui He
article en

Abstract

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.

Journal of Statistical PhysicsVol. 193(9)
Bielefeld University (DE), University of Birmingham (GB)
Universität Bielefeld
Openalex Percentile: Top 98%
Computational Fluid Dynamics and Aerodynamics
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