Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.11058 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913268911570944 |
|---|---|
| author | Fang, Zhendong |
| author_facet | Fang, Zhendong |
| contents | In this paper, we concentrate on the connection between Boltzmann equation and stationary equations. To our knowledge, the stationary Navier-Stokes-Fourier system, the stationary Euler equations and the stationary Stokes equations are formally derived by moment estimate in the first time and extend the results of Bardos, Golse, and Levermore in J. Statist. Phys. 63(1-2), 323-344, 1991. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11058 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Formal derivations from Boltzmann equation to three stationary equations Fang, Zhendong Analysis of PDEs In this paper, we concentrate on the connection between Boltzmann equation and stationary equations. To our knowledge, the stationary Navier-Stokes-Fourier system, the stationary Euler equations and the stationary Stokes equations are formally derived by moment estimate in the first time and extend the results of Bardos, Golse, and Levermore in J. Statist. Phys. 63(1-2), 323-344, 1991. |
| title | Formal derivations from Boltzmann equation to three stationary equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.11058 |