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

Tsukasa Iwabuchi; Alex Mahalov; Ryo Takada

doi:10.1007/978-3-0348-0939-9_17

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

Tsukasa Iwabuchi, Alex Mahalov, Ryo Takada

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

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 language	English (US)
Title of host publication	Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
Publisher	Springer Verlag
Pages	321-335
Number of pages	15
Volume	none
ISBN (Print)	9783034809382
DOIs	https://doi.org/10.1007/978-3-0348-0939-9_17
State	Published - 2016
Event	International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013 - Nara, Japan Duration: Mar 5 2013 → Mar 9 2013

Other

Other	International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday, 2013
Country	Japan
City	Nara
Period	3/5/13 → 3/9/13

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Keywords

Asymptotic stability
The rotating Navier-Stokes equations
Time periodic solutions

ASJC Scopus subject areas

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 Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday (Vol. none, pp. 321-335). 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.

Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday. Vol. none Springer Verlag, 2016. p. 321-335.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Iwabuchi, T, Mahalov, A & Takada, R 2016, Stability of time periodic solutions for the rotating navier-stokes equations. in 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

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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.

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Access to Document

10.1007/978-3-0348-0939-9_17