Multi-species kinetic models: GENERIC formulation and Fisher information
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866915788590415872 |
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| author | Duong, Manh Hong He, Zihui |
| author_facet | Duong, Manh Hong He, Zihui |
| contents | In this paper, we study the GENERIC structures of multi-species spatially inhomogeneous Boltzmann and Landau equations with Bose-Einstein, Maxwell-Boltzmann, and Fermi-Dirac statistics. In addition, under suitable assumptions on the collision kernels, we show that the Fisher information for the multi-species spatially homogeneous Boltzmann equation is non-increasing in time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09875 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multi-species kinetic models: GENERIC formulation and Fisher information Duong, Manh Hong He, Zihui Analysis of PDEs In this paper, we study the GENERIC structures of multi-species spatially inhomogeneous Boltzmann and Landau equations with Bose-Einstein, Maxwell-Boltzmann, and Fermi-Dirac statistics. In addition, under suitable assumptions on the collision kernels, we show that the Fisher information for the multi-species spatially homogeneous Boltzmann equation is non-increasing in time. |
| title | Multi-species kinetic models: GENERIC formulation and Fisher information |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.09875 |