@inproceedings{1d9afa18f7d6431d944fb192edbb8be4,

title = "Stability of time periodic solutions for the rotating navier-stokes equations",

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.",

keywords = "Asymptotic stability, The rotating Navier-Stokes equations, Time periodic solutions",

author = "Tsukasa Iwabuchi and Alex Mahalov and Ryo Takada",

note = "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: {\textcopyright} Springer Basel 2016.; International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata{\textquoteright}s 60th Birthday, 2013 ; Conference date: 05-03-2013 Through 09-03-2013",

year = "2016",

doi = "10.1007/978-3-0348-0939-9_17",

language = "English (US)",

isbn = "9783034809382",

series = "Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday",

publisher = "Springer Verlag",

pages = "321--335",

editor = "Yoshikazu Giga and Hideo Kozono and Masao Yamazaki and Hisashi Okamoto and Herbert Amann",

booktitle = "Recent Developments of Mathematical Fluid Mechanics",

}