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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.17370 |
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| _version_ | 1866911224125456384 |
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| author | Kogelbauer, Florian Karlin, Ilya |
| author_facet | Kogelbauer, Florian Karlin, Ilya |
| contents | We show that the one-dimensional three-component Grad system admits solutions that violate the Chapman--Enskog scaling in Knudsen number. In particular, there exist solutions that do not converge to the analogues of the Euler and Navier--Stokes equations for vanishing Knudsen number. These non-hydrodynamic solutions correspond to a fast spectral manifold in kinetic phase space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17370 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Note on Non-Hydrodynamic Solutions of Kinetic Systems Kogelbauer, Florian Karlin, Ilya Analysis of PDEs We show that the one-dimensional three-component Grad system admits solutions that violate the Chapman--Enskog scaling in Knudsen number. In particular, there exist solutions that do not converge to the analogues of the Euler and Navier--Stokes equations for vanishing Knudsen number. These non-hydrodynamic solutions correspond to a fast spectral manifold in kinetic phase space. |
| title | A Note on Non-Hydrodynamic Solutions of Kinetic Systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.17370 |