Rigid body in compressible flow with general inflow-outflow boundary data
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916356479254528 |
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| 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 |