Mean-field derivation of Landau-like equations
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866913635386785792 |
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| author | Carrillo, José Antonio Guo, Shuchen Jabin, Pierre-Emmanuel |
| author_facet | Carrillo, José Antonio Guo, Shuchen Jabin, Pierre-Emmanuel |
| contents | We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the tensorised solution of the limiting Landau-like equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mean-field derivation of Landau-like equations Carrillo, José Antonio Guo, Shuchen Jabin, Pierre-Emmanuel Analysis of PDEs We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the tensorised solution of the limiting Landau-like equation. |
| title | Mean-field derivation of Landau-like equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.12651 |