### Abstract

We investigate the steady motion of a viscous incompressible fluid around a floating body which is rotating with a constant angular velocity. The fluid flow is described by a free boundary problem for the Navier-Stokes equations, where the free boundary consists of the capillary surface of the fluid and the wetted part of the floating body.

Original language | English |
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Title of host publication | Advances in Mathematical Fluid Mechanics |

Subtitle of host publication | Dedicated to Giovanni Paolo Galdi on the Occasion of his 60th Birthday |

Publisher | Springer Berlin Heidelberg |

Pages | 43-54 |

Number of pages | 12 |

ISBN (Print) | 9783642040672 |

DOIs | |

Publication status | Published - 2010 |

Externally published | Yes |

### Keywords

- Capillarity (surface tension)
- Free boundary problems
- Navier-Stokes equations
- Rotating fluids

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Bemelmans, J., & Kyed, M. (2010). Steady flow around a floating body: The rotationally symmetric case. In

*Advances in Mathematical Fluid Mechanics: Dedicated to Giovanni Paolo Galdi on the Occasion of his 60th Birthday*(pp. 43-54). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-04068-9_4