The simplest solutions of cold plasma equations: change in properties from a hydrodynamic to a kinetic model
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910804865974272 |
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| author | Gargyants, Lidia V. Rozanova, Olga S. |
| author_facet | Gargyants, Lidia V. Rozanova, Olga S. |
| contents | We consider the transition from the kinetic model of Landau cold plasma to the hydrodynamic one by constructing a "multi-speed" moment chain in the case of one spatial variable. Closing this chain at the first step leads to the standard hydrodynamic system of cold plasma. The change in the properties of the solution when closing the chain at the second step is discussed using the example of two classes of solutions - affine in space and traveling waves, and it is shown that their properties change significantly compared to the hydrodynamic model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The simplest solutions of cold plasma equations: change in properties from a hydrodynamic to a kinetic model Gargyants, Lidia V. Rozanova, Olga S. Analysis of PDEs 35F55 35Q60 82C40 35B44 35C07 We consider the transition from the kinetic model of Landau cold plasma to the hydrodynamic one by constructing a "multi-speed" moment chain in the case of one spatial variable. Closing this chain at the first step leads to the standard hydrodynamic system of cold plasma. The change in the properties of the solution when closing the chain at the second step is discussed using the example of two classes of solutions - affine in space and traveling waves, and it is shown that their properties change significantly compared to the hydrodynamic model. |
| title | The simplest solutions of cold plasma equations: change in properties from a hydrodynamic to a kinetic model |
| topic | Analysis of PDEs 35F55 35Q60 82C40 35B44 35C07 |
| url | https://arxiv.org/abs/2501.17812 |