On the motion of a rigid body in a two-dimensional ideal flow with vortex sheet initial data
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2011
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| _version_ | 1866916543770656768 |
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| author | Sueur, Franck |
| author_facet | Sueur, Franck |
| contents | A famous result by Delort about the two-dimensional incompressible Euler equations is the existence of weak solutions when the initial vorticity is a diffuse bounded Radon measure with distinguished sign. In this paper we are interested in the case where there is a rigid body immersed in the fluid moving under the action of the fluid pressure. We succeed to prove the existence of solutions à la Delort in a particular case. These solutions satisfy the energy inequality and the body acceleration is bounded. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1112_3152 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | On the motion of a rigid body in a two-dimensional ideal flow with vortex sheet initial data Sueur, Franck Analysis of PDEs A famous result by Delort about the two-dimensional incompressible Euler equations is the existence of weak solutions when the initial vorticity is a diffuse bounded Radon measure with distinguished sign. In this paper we are interested in the case where there is a rigid body immersed in the fluid moving under the action of the fluid pressure. We succeed to prove the existence of solutions à la Delort in a particular case. These solutions satisfy the energy inequality and the body acceleration is bounded. |
| title | On the motion of a rigid body in a two-dimensional ideal flow with vortex sheet initial data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1112.3152 |