Local and global existence results for the Navier-Stokes equations in the rotational framework

Daoyuan Fang, Bin Han, Matthias Georg Hieber

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Consider the equations of Navier-Stokes in R3 in the rotational setting, i.e. with Coriolis force. It is shown that this set of equations admits a unique, global mild solution provided only the horizontal components of the initial data are small with respect to the norm the Fourier-Besov space {equation presented} (R3), where p ∈ [2,∞] and r∈ [1,∞).

Original languageEnglish
Pages (from-to)609-622
Number of pages14
JournalCommunications on Pure and Applied Analysis
Volume14
Issue number2
DOIs
Publication statusPublished - 2015 Mar 1
Externally publishedYes

Fingerprint

Coriolis force
Local Existence
Global Existence
Navier Stokes equations
Existence Results
Navier-Stokes Equations
Coriolis Force
Mild Solution
Besov Spaces
Navier-Stokes
Horizontal
Norm
Framework

Keywords

  • Chemin-Lerner space
  • Fourier-Besov space
  • Global solution
  • Littlewood- Paley decomposition
  • Rotational ows

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Local and global existence results for the Navier-Stokes equations in the rotational framework. / Fang, Daoyuan; Han, Bin; Hieber, Matthias Georg.

In: Communications on Pure and Applied Analysis, Vol. 14, No. 2, 01.03.2015, p. 609-622.

Research output: Contribution to journalArticle

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