On regularity of solutions of 3D navier-stokes equations

J. Avrinl, A. Babinl, Alex Mahalov, B. Nicolaenko

Research output: Contribution to journalArticle

Abstract

We consider fluid in a rotating frame under periodic boundary conditions. In our previous work we show that for typical aspect ratios of periods the solutions are regular if the rotation is fast enough and the initial data and forcing terms are very smooth. Here we use a kind of closing argument to extend the results by continuity to less smooth data. The required smoothness of the data follows from natural requirement of continuous dependence of solutions of the equations on the data in appropriate spaces.

Original languageEnglish (US)
Pages (from-to)197-214
Number of pages18
JournalInternational Journal of Phytoremediation
Volume71
Issue number1-4
DOIs
StatePublished - Jan 1 1998
Externally publishedYes

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Navier-Stokes equations
Navier Stokes equations
Aspect ratio
Boundary conditions
Fluids
boundary condition
fluid
fluids

Keywords

  • Coriolis force
  • Fourier series
  • Resonances
  • Rotating frame
  • Variation-of-constants formula

ASJC Scopus subject areas

  • Environmental Chemistry
  • Pollution
  • Plant Science

Cite this

On regularity of solutions of 3D navier-stokes equations. / Avrinl, J.; Babinl, A.; Mahalov, Alex; Nicolaenko, B.

In: International Journal of Phytoremediation, Vol. 71, No. 1-4, 01.01.1998, p. 197-214.

Research output: Contribution to journalArticle

Avrinl, J. ; Babinl, A. ; Mahalov, Alex ; Nicolaenko, B. / On regularity of solutions of 3D navier-stokes equations. In: International Journal of Phytoremediation. 1998 ; Vol. 71, No. 1-4. pp. 197-214.
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