Time periodic solutions to the Navier-Stokes equations in the rotational framework

Tsukasa Iwabuchi; Ryo Takada

doi:10.1007/s00028-012-0165-z

Time periodic solutions to the Navier-Stokes equations in the rotational framework

Tsukasa Iwabuchi, Ryo Takada

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We consider the Navier-Stokes equations in the rotational framework with the time periodic external force. We give sufficient conditions on the size of the external forces for the existence of time periodic solutions in terms of the Coriolis parameter. It follows from our conditions that the unique existence of time periodic solutions is guaranteed for large external forces provided the speed of rotation is sufficiently fast.

Original language	English
Pages (from-to)	985-1000
Number of pages	16
Journal	Journal of Evolution Equations
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s00028-012-0165-z
Publication status	Published - Dec 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Access to Document

10.1007/s00028-012-0165-z

Cite this

@article{878f361bf961466d9c4e13f449dd8b93,

title = "Time periodic solutions to the Navier-Stokes equations in the rotational framework",

abstract = "We consider the Navier-Stokes equations in the rotational framework with the time periodic external force. We give sufficient conditions on the size of the external forces for the existence of time periodic solutions in terms of the Coriolis parameter. It follows from our conditions that the unique existence of time periodic solutions is guaranteed for large external forces provided the speed of rotation is sufficiently fast.",

author = "Tsukasa Iwabuchi and Ryo Takada",

note = "Funding Information: The authors would like to express their sincere gratitude to Professor Hideo Kozon-o for his valuable suggestions and continuous encouragement. The second author is partly supported by Research Fellow of the Japan society for Promotion of Science for Young Scientists.",

year = "2012",

month = dec,

doi = "10.1007/s00028-012-0165-z",

language = "English",

volume = "12",

pages = "985--1000",

journal = "Journal of Evolution Equations",

issn = "1424-3199",

publisher = "Birkhauser Verlag Basel",

number = "4",

}

TY - JOUR

T1 - Time periodic solutions to the Navier-Stokes equations in the rotational framework

AU - Iwabuchi, Tsukasa

AU - Takada, Ryo

N1 - Funding Information: The authors would like to express their sincere gratitude to Professor Hideo Kozon-o for his valuable suggestions and continuous encouragement. The second author is partly supported by Research Fellow of the Japan society for Promotion of Science for Young Scientists.

PY - 2012/12

Y1 - 2012/12

N2 - We consider the Navier-Stokes equations in the rotational framework with the time periodic external force. We give sufficient conditions on the size of the external forces for the existence of time periodic solutions in terms of the Coriolis parameter. It follows from our conditions that the unique existence of time periodic solutions is guaranteed for large external forces provided the speed of rotation is sufficiently fast.

AB - We consider the Navier-Stokes equations in the rotational framework with the time periodic external force. We give sufficient conditions on the size of the external forces for the existence of time periodic solutions in terms of the Coriolis parameter. It follows from our conditions that the unique existence of time periodic solutions is guaranteed for large external forces provided the speed of rotation is sufficiently fast.

UR - http://www.scopus.com/inward/record.url?scp=84874209626&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874209626&partnerID=8YFLogxK

U2 - 10.1007/s00028-012-0165-z

DO - 10.1007/s00028-012-0165-z

M3 - Article

AN - SCOPUS:84874209626

SN - 1424-3199

VL - 12

SP - 985

EP - 1000

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 4

ER -

Time periodic solutions to the Navier-Stokes equations in the rotational framework

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this