Estimates on the velocity of a rigid body moving in a fluid
| Autor: | Filippas, Stathis, Tersenov, Alkis |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We obtain estimates of all components of the velocity of a 3D rigid body moving in a viscous incompressible fluid without any symmetry restriction on the shape of the rigid body or the container. The estimates are in terms of suitable norms of the velocity field in a small domain of the fluid only, provided the distance $h$ between the rigid body and the container is small. As a consequence we obtain suitable differential inequalities that control the distance $h$. The results are obtained using the fact that the vector field under investigation belongs to suitable function spaces, without any use of hydrodynamic equations. Comment: 20 pages, 3 figures |
| Databáze: | arXiv |
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