From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910845283336192 |
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| author | Carrillo, José Antonio Guo, Shuchen |
| author_facet | Carrillo, José Antonio Guo, Shuchen |
| contents | We consider the Kac model for the space-homogeneous Landau equation with the Coulomb potential. We show that the Fisher information of the Liouville equation for the unmodified $N$-particle system is monotonically decreasing in time. The monotonicity ensures the compactness to derive a weak solution of the Landau hierarchy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy Carrillo, José Antonio Guo, Shuchen Analysis of PDEs Mathematical Physics We consider the Kac model for the space-homogeneous Landau equation with the Coulomb potential. We show that the Fisher information of the Liouville equation for the unmodified $N$-particle system is monotonically decreasing in time. The monotonicity ensures the compactness to derive a weak solution of the Landau hierarchy. |
| title | From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2502.18606 |