On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data

Yoshikazu Giga, Hideaki Jo, Alex Mahalov, Tsuyoshi Yoneda

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

We consider the Navier-Stokes equations with the Coriolis force when initial data may not decrease at spatial infinity so that almost periodic data is allowed. We prove that the local-in-time solution is analytic in time when initial data are in F M0, the Fourier preimage of the space of all finite Radon measures with no point mass at the origin. When the initial data are almost periodic, this implies that the complex amplitude is analytic in time. In particular, a new mode cannot be created at any positive time.

Original languageEnglish (US)
Pages (from-to)1422-1428
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume237
Issue number10-12
DOIs
StatePublished - Jul 15 2008

Keywords

  • Analyticity
  • Coriolis force
  • Frequency set
  • Navier-Stokes equations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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