### Abstract

We consider the stability problem of time periodic solutions for the rotating Navier-Stokes equations. For the non-rotating case, it is known that time periodic solutions to the original Navier-Stokes equations are asymptotically stable under the smallness assumptions both on the time periodic solutions and on the initial disturbances. We shall treat the high-rotating cases, and prove the asymptotic stability of large time periodic solutions for large initial perturbations.

Original language | English |
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Title of host publication | Recent Developments of Mathematical Fluid Mechanics |

Editors | Yoshikazu Giga, Hideo Kozono, Masao Yamazaki, Hisashi Okamoto, Herbert Amann |

Publisher | Springer Verlag |

Pages | 321-335 |

Number of pages | 15 |

ISBN (Print) | 9783034809382 |

DOIs | |

Publication status | Published - 2016 Jan 1 |

Event | International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan Duration: 2013 Mar 5 → 2013 Mar 9 |

### Publication series

Name | Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday |
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Volume | none |

### Other

Other | International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 |
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Country | Japan |

City | Nara |

Period | 13/3/5 → 13/3/9 |

### Keywords

- Asymptotic stability
- The rotating Navier-Stokes equations
- Time periodic solutions

### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

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## Cite this

Iwabuchi, T., Mahalov, A., & Takada, R. (2016). Stability of time periodic solutions for the rotating navier-stokes equations. In Y. Giga, H. Kozono, M. Yamazaki, H. Okamoto, & H. Amann (Eds.),

*Recent Developments of Mathematical Fluid Mechanics*(pp. 321-335). (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday; Vol. none). Springer Verlag. https://doi.org/10.1007/978-3-0348-0939-9_17