GENERIC formulation and small-angle limit for Kinetic wave equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916908591218688 |
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| author | Duong, Manh Hong He, Zihui |
| author_facet | Duong, Manh Hong He, Zihui |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13871 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | GENERIC formulation and small-angle limit for Kinetic wave equations Duong, Manh Hong He, Zihui Analysis of PDEs Mathematical Physics 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. |
| title | GENERIC formulation and small-angle limit for Kinetic wave equations |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2508.13871 |