A consistent kinetic Fokker-Planck model for gas mixtures
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913513792864256 |
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| author | Pirner, Marlies |
| author_facet | Pirner, Marlies |
| contents | We propose a general multi-species Fokker-Planck model. We prove consistency of our model: conservation properties, positivity of all temperatures, H-Theorem and the shape of equilibrium as Maxwell distributions with the same mean velocity and temperature. Moreover, we derive the usual macroscopic equations from the kinetic two-species BGK model and compute explicitly the exchange terms of momentum and energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A consistent kinetic Fokker-Planck model for gas mixtures Pirner, Marlies Analysis of PDEs We propose a general multi-species Fokker-Planck model. We prove consistency of our model: conservation properties, positivity of all temperatures, H-Theorem and the shape of equilibrium as Maxwell distributions with the same mean velocity and temperature. Moreover, we derive the usual macroscopic equations from the kinetic two-species BGK model and compute explicitly the exchange terms of momentum and energy. |
| title | A consistent kinetic Fokker-Planck model for gas mixtures |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.18478 |