Rigid body in compressible flow with general inflow-outflow boundary data
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916356479254528 |
|---|---|
| author | Axmann, Šimon Nečasová, Šárka Radošević, Ana |
| author_facet | Axmann, Šimon Nečasová, Šárka Radošević, Ana |
| contents | We study the motion of a rigid body within a compressible, isentropic, and viscous fluid contained in a fixed bounded domain $Ω\subset \mathbb{R}^3$. The fluid's behavior is described by the Navier-Stokes equations, while the motion of the rigid body is governed by ordinary differential equations representing the conservation of linear and angular momentum. We prescribe a time-independent fluid velocity along the boundary of $Ω$ and a time-independent fluid density at the inflow boundary of $Ω$. Additionally, we assume a no-slip boundary condition at the interface between the fluid and the rigid body. We prove existence of a weak solution to the given problem within a time interval where the rigid body does not touch the boundary $\partialΩ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07141 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigid body in compressible flow with general inflow-outflow boundary data Axmann, Šimon Nečasová, Šárka Radošević, Ana Analysis of PDEs We study the motion of a rigid body within a compressible, isentropic, and viscous fluid contained in a fixed bounded domain $Ω\subset \mathbb{R}^3$. The fluid's behavior is described by the Navier-Stokes equations, while the motion of the rigid body is governed by ordinary differential equations representing the conservation of linear and angular momentum. We prescribe a time-independent fluid velocity along the boundary of $Ω$ and a time-independent fluid density at the inflow boundary of $Ω$. Additionally, we assume a no-slip boundary condition at the interface between the fluid and the rigid body. We prove existence of a weak solution to the given problem within a time interval where the rigid body does not touch the boundary $\partialΩ$. |
| title | Rigid body in compressible flow with general inflow-outflow boundary data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.07141 |