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

Tsukasa Iwabuchi, Alex Mahalov, Ryo Takada

研究成果: 著書/レポートタイプへの貢献会議での発言

2 引用 (Scopus)

抄録

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.

元の言語英語
ホスト出版物のタイトルRecent Developments of Mathematical Fluid Mechanics
編集者Yoshikazu Giga, Hideo Kozono, Masao Yamazaki, Hisashi Okamoto, Herbert Amann
出版者Springer Verlag
ページ321-335
ページ数15
ISBN(印刷物)9783034809382
DOI
出版物ステータス出版済み - 1 1 2016
外部発表Yes
イベントInternational Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, 日本
継続期間: 3 5 20133 9 2013

出版物シリーズ

名前Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
none

その他

その他International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
日本
Nara
期間3/5/133/9/13

Fingerprint

Navier Stokes equations
Asymptotic stability

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes

これを引用

Iwabuchi, T., Mahalov, A., & Takada, R. (2016). Stability of time periodic solutions for the rotating navier-stokes equations. : Y. Giga, H. Kozono, M. Yamazaki, H. Okamoto, & H. Amann (版), 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; 巻数 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. 版 / 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; 巻 none).

研究成果: 著書/レポートタイプへの貢献会議での発言

Iwabuchi, T, Mahalov, A & Takada, R 2016, Stability of time periodic solutions for the rotating navier-stokes equations. : Y Giga, H Kozono, M Yamazaki, H Okamoto & H Amann (版), Recent Developments of Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday, 巻. none, Springer Verlag, pp. 321-335, International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013, Nara, 日本, 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. : Giga Y, Kozono H, Yamazaki M, Okamoto H, Amann H, 編集者, 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. 編集者 / 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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