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

Tsukasa Iwabuchi, Ryo Takada

Research output: Contribution to journalArticlepeer-review

9 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 languageEnglish
Pages (from-to)985-1000
Number of pages16
JournalJournal of Evolution Equations
Volume12
Issue number4
DOIs
Publication statusPublished - 2012 Sep 14

Keywords

  • Dispersive effects of the Coriolis force
  • The Coriolis force
  • The Navier-Stokes equations
  • Time periodic solutions

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Fingerprint Dive into the research topics of 'Time periodic solutions to the Navier-Stokes equations in the rotational framework'. Together they form a unique fingerprint.

Cite this