TY - GEN
T1 - Stability of time periodic solutions for the rotating navier-stokes equations
AU - Iwabuchi, Tsukasa
AU - Mahalov, Alex
AU - Takada, Ryo
N1 - Funding Information:
T. Iwabuchi is partially supported by JSPS Grant-in-Aid for Young Scientists (B) #25800069. A. Mahalov is partially supported by NSF DMS grant 1419593. R. Takada was partially supported by JSPS Grant-in-Aid for Research Activity Start-up #25887005.
Publisher Copyright:
© Springer Basel 2016.
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
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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
T3 - Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
SP - 321
EP - 335
BT - Recent Developments of Mathematical Fluid Mechanics
A2 - Giga, Yoshikazu
A2 - Kozono, Hideo
A2 - Yamazaki, Masao
A2 - Okamoto, Hisashi
A2 - Amann, Herbert
PB - Springer Verlag
T2 - International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
Y2 - 5 March 2013 through 9 March 2013
ER -