Stability of time periodic solutions for the rotating navier-stokes equations

Tsukasa Iwabuchi, Alex Mahalov, Ryo Takada

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publicationRecent Developments of Mathematical Fluid Mechanics
EditorsYoshikazu Giga, Hideo Kozono, Masao Yamazaki, Hisashi Okamoto, Herbert Amann
PublisherSpringer Verlag
Pages321-335
Number of pages15
ISBN (Print)9783034809382
DOIs
Publication statusPublished - Jan 1 2016
EventInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan
Duration: Mar 5 2013Mar 9 2013

Publication series

NameAdvances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
Volumenone

Other

OtherInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
CountryJapan
CityNara
Period3/5/133/9/13

Fingerprint

Navier Stokes equations
Asymptotic stability

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes

Cite this

Iwabuchi, T., Mahalov, A., & Takada, R. (2016). Stability of time periodic solutions for the rotating navier-stokes equations. In Y. Giga, H. Kozono, M. Yamazaki, H. Okamoto, & H. Amann (Eds.), Recent Developments of Mathematical Fluid Mechanics (pp. 321-335). (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday; Vol. none). Springer Verlag. https://doi.org/10.1007/978-3-0348-0939-9_17

Stability of time periodic solutions for the rotating navier-stokes equations. / Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo.

Recent Developments of Mathematical Fluid Mechanics. ed. / Yoshikazu Giga; Hideo Kozono; Masao Yamazaki; Hisashi Okamoto; Herbert Amann. Springer Verlag, 2016. p. 321-335 (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday; Vol. none).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Iwabuchi, T, Mahalov, A & Takada, R 2016, Stability of time periodic solutions for the rotating navier-stokes equations. in Y Giga, H Kozono, M Yamazaki, H Okamoto & H Amann (eds), Recent Developments of Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday, vol. none, Springer Verlag, pp. 321-335, International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013, Nara, Japan, 3/5/13. https://doi.org/10.1007/978-3-0348-0939-9_17
Iwabuchi T, Mahalov A, Takada R. Stability of time periodic solutions for the rotating navier-stokes equations. In Giga Y, Kozono H, Yamazaki M, Okamoto H, Amann H, editors, Recent Developments of Mathematical Fluid Mechanics. Springer Verlag. 2016. p. 321-335. (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday). https://doi.org/10.1007/978-3-0348-0939-9_17
Iwabuchi, Tsukasa ; Mahalov, Alex ; Takada, Ryo. / Stability of time periodic solutions for the rotating navier-stokes equations. Recent Developments of Mathematical Fluid Mechanics. editor / Yoshikazu Giga ; Hideo Kozono ; Masao Yamazaki ; Hisashi Okamoto ; Herbert Amann. Springer Verlag, 2016. pp. 321-335 (Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday).
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