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) |
|---|---|
| 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 |
|---|---|
| Country | Japan |
| City | Nara |
| Period | 3/5/13 → 3/9/13 |
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Keywords
- Asymptotic stability
- The rotating Navier-Stokes equations
- Time periodic solutions
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
Cite this
Stability of time periodic solutions for the rotating navier-stokes equations. / Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo.
Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday. Vol. none Springer Verlag, 2016. p. 321-335.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
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 -