On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911020112412672 |
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| author | Kogelbauer, Florian Karlin, Ilya |
| author_facet | Kogelbauer, Florian Karlin, Ilya |
| contents | We demonstrate that the Chapman-Enskog series is locally equivalent to the exact spectral closure defined on slow kinetic eigenmodes in the limit of vanishing Knudsen number. We further show that the Chapman-Enskog series diverges everywhere expect at the global equilibrium for an explicit example, while the exact spectrally closed hydrodynamics are defined globally for any Knudsen number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17441 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series Kogelbauer, Florian Karlin, Ilya Mathematical Physics Analysis of PDEs We demonstrate that the Chapman-Enskog series is locally equivalent to the exact spectral closure defined on slow kinetic eigenmodes in the limit of vanishing Knudsen number. We further show that the Chapman-Enskog series diverges everywhere expect at the global equilibrium for an explicit example, while the exact spectrally closed hydrodynamics are defined globally for any Knudsen number. |
| title | On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2506.17441 |