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

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

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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 -