Diffusive Expansion of the Boltzmann equation for the flow past an obstacle
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929567437946880 |
|---|---|
| author | Guo, Yan Jung, Junhwa |
| author_facet | Guo, Yan Jung, Junhwa |
| contents | The exterior domain problem is essential in fluid and kinetic equations. In this paper, we establish the validity of the diffusive expansion for the Boltzmann equations to the Navier-Stokes-Fourier system up to the critical time in an exterior domain with non-zero passing flow. We apply the $L^3-L^6$ framework to the unbounded domain in this paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22503 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diffusive Expansion of the Boltzmann equation for the flow past an obstacle Guo, Yan Jung, Junhwa Analysis of PDEs The exterior domain problem is essential in fluid and kinetic equations. In this paper, we establish the validity of the diffusive expansion for the Boltzmann equations to the Navier-Stokes-Fourier system up to the critical time in an exterior domain with non-zero passing flow. We apply the $L^3-L^6$ framework to the unbounded domain in this paper. |
| title | Diffusive Expansion of the Boltzmann equation for the flow past an obstacle |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.22503 |