Asymptotic properties of axis-symmetric D-solutions of the Navier-Stokes equations

Hi Jun Choe, Bum Ja Jin

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We consider asymptotic behavior of Leray's solution which expresses axis-symmetric incompressible Navier-Stokes flow past an axis-symmetric body. When the velocity at infinity is prescribed to be nonzero constant, Leray's solution is known to have optimum decay rate, which is in the class of physically reasonable solution. When the velocity at infinity is prescribed to be zero, the decay rate at infinity has been shown under certain restrictions such as smallness on the data. Here we find an explicit decay rate when the flow is axis-symmetric by decoupling the axial velocity and the horizontal velocities.

Original languageEnglish
Pages (from-to)208-232
Number of pages25
JournalJournal of Mathematical Fluid Mechanics
Volume11
Issue number2
DOIs
Publication statusPublished - 2009 Jun 1

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asymptotic properties
Navier-Stokes equation
Navier Stokes equations
Asymptotic Properties
Navier-Stokes Equations
Decay Rate
infinity
decay rates
Infinity
Incompressible Navier-Stokes
Stokes flow
Stokes Flow
Decoupling
decoupling
constrictions
Horizontal
Express
Asymptotic Behavior
Restriction
Zero

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics

Cite this

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Asymptotic properties of axis-symmetric D-solutions of the Navier-Stokes equations. / Choe, Hi Jun; Jin, Bum Ja.

In: Journal of Mathematical Fluid Mechanics, Vol. 11, No. 2, 01.06.2009, p. 208-232.

Research output: Contribution to journalArticle

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