### 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 (US) |
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Title of host publication | Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday |

Publisher | Springer Verlag |

Pages | 321-335 |

Number of pages | 15 |

Volume | none |

ISBN (Print) | 9783034809382 |

DOIs | |

State | Published - 2016 |

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

### 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 | 3/5/13 → 3/9/13 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

### Cite this

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

**Stability of time periodic solutions for the rotating navier-stokes equations.** / Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday.*vol. none, Springer Verlag, pp. 321-335, International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013, Nara, Japan, 3/5/13. https://doi.org/10.1007/978-3-0348-0939-9_17

}

TY - GEN

T1 - Stability of time periodic solutions for the rotating navier-stokes equations

AU - Iwabuchi, Tsukasa

AU - Mahalov, Alex

AU - Takada, Ryo

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Asymptotic stability

KW - The rotating Navier-Stokes equations

KW - Time periodic solutions

UR - http://www.scopus.com/inward/record.url?scp=84964308098&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964308098&partnerID=8YFLogxK

U2 - 10.1007/978-3-0348-0939-9_17

DO - 10.1007/978-3-0348-0939-9_17

M3 - Conference contribution

AN - SCOPUS:84964308098

SN - 9783034809382

VL - none

SP - 321

EP - 335

BT - Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday

PB - Springer Verlag

ER -