Uniqueness results for weak solutions of two-dimensional fluid-solid systems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2012
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| _version_ | 1866912169424060416 |
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| author | Glass, Olivier Sueur, Franck |
| author_facet | Glass, Olivier Sueur, Franck |
| contents | In this paper, we consider two systems modelling the evolution of a rigid body in an incompressible fluid in a bounded domain of the plane. The first system corresponds to an inviscid fluid driven by the Euler equation whereas the other one corresponds to a viscous fluid driven by the Navier-Stokes system. In both cases we investigate the uniqueness of weak solutions, "à la Yudovich" for the Euler case, "à la Leray" for the Navier-Stokes case, as long as no collision occurs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1203_2894 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Uniqueness results for weak solutions of two-dimensional fluid-solid systems Glass, Olivier Sueur, Franck Analysis of PDEs In this paper, we consider two systems modelling the evolution of a rigid body in an incompressible fluid in a bounded domain of the plane. The first system corresponds to an inviscid fluid driven by the Euler equation whereas the other one corresponds to a viscous fluid driven by the Navier-Stokes system. In both cases we investigate the uniqueness of weak solutions, "à la Yudovich" for the Euler case, "à la Leray" for the Navier-Stokes case, as long as no collision occurs. |
| title | Uniqueness results for weak solutions of two-dimensional fluid-solid systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1203.2894 |