Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2012
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| _version_ | 1866912169429303296 |
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| author | Glass, Olivier Sueur, Franck |
| author_facet | Glass, Olivier Sueur, Franck |
| contents | In this note we consider the motion of a solid body in a two dimensional incompressible perfect fluid. We prove the global existence of solutions in the case where the initial vorticity belongs to $L^p$ with $p>1$ and is compactly supported. We do not assume that the energy is finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1203_5988 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system Glass, Olivier Sueur, Franck Analysis of PDEs In this note we consider the motion of a solid body in a two dimensional incompressible perfect fluid. We prove the global existence of solutions in the case where the initial vorticity belongs to $L^p$ with $p>1$ and is compactly supported. We do not assume that the energy is finite. |
| title | Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1203.5988 |