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 (US)
Title of host publicationAdvances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday
PublisherSpringer Verlag
Pages321-335
Number of pages15
Volumenone
ISBN (Print)9783034809382
DOIs
StatePublished - 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

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

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 proceedingConference 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
Iwabuchi T, Mahalov A, Takada R. 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. 2016. p. 321-335 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. Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday. Vol. none Springer Verlag, 2016. pp. 321-335
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