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 |
Keywords
- Asymptotic stability
- The rotating Navier-Stokes equations
- Time periodic solutions
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes