Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918498699051008 |
|---|---|
| author | Chen, Zhi-Min |
| author_facet | Chen, Zhi-Min |
| contents | A thermal convection flow in the three-dimensional unbounded fluid domain exterior to a sphere is considered. The viscosity force is determined by a fractional power of the Stokes operator. A purely conductive steady state arises due to the fluid heated from the sphere. A weak solution of the fluid motion problem is obtained and global stability of the steady-state solution in $L^2$ is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13035 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain Chen, Zhi-Min Analysis of PDEs 35B35, 35B40, 35D30, 35Q35, 76D99 A thermal convection flow in the three-dimensional unbounded fluid domain exterior to a sphere is considered. The viscosity force is determined by a fractional power of the Stokes operator. A purely conductive steady state arises due to the fluid heated from the sphere. A weak solution of the fluid motion problem is obtained and global stability of the steady-state solution in $L^2$ is provided. |
| title | Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain |
| topic | Analysis of PDEs 35B35, 35B40, 35D30, 35Q35, 76D99 |
| url | https://arxiv.org/abs/2501.13035 |