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Chute stationnaire d'un solide dans un fluide visqueux incompressible le long d'un plan incliné
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hillairet, Matthieu Serre, Denis |
| Copyright Year | 2003 |
| Abstract | Abstract The three-dimensional space is filled by a Newtonian fluid above a fixed ramp. A spherical solid body falls in the fluid under the action of the gravity. We are interested in permanent regimes, in which gravity and the action of the stress tensor of the fluid on the solid compensate. We prove that there exist such regimes, in which some parameters are given (including the gravity, the velocity of the solid and its distance to the ramp), but others, such the mass and the angular velocity, are determined by the motion. We encounter two main difficulties. First in establishing a (non-explicit) a priori estimate. Last, because we are not able to convert the problem into the search of a zero of some outgoing vector field in a ball. |
| Starting Page | 779 |
| Ending Page | 803 |
| Page Count | 25 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/S0294-1449(02)00028-8 |
| Volume Number | 20 |
| Alternate Webpage(s) | http://www.numdam.org/article/AIHPC_2003__20_5_779_0.pdf |
| Alternate Webpage(s) | http://www.umpa.ens-lyon.fr/~serre/PS/chute.ps |
| Alternate Webpage(s) | https://doi.org/10.1016/S0294-1449%2802%2900028-8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
