Characterization of generalized solutions for the homogeneous Stokes equations in exterior domains

Hi Jun Choe, Bum Ja Jin

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The Stokes equations were studied and full characterizations of the homogeneous Stokes solutions in the exterior domains were presented. For small Reynolds number, the solution of the Stokes equation provides good approximation to the solution of the Navier-Stokes equations for the near body region. Whereas, all the Stokes solutions cannot account for the behavior of real fluids at infinity. The asymptotic behavior of the generalized solution was decided by the homogeneous Sobolev norms.

Original languageEnglish
Pages (from-to)765-779
Number of pages15
JournalNonlinear Analysis, Theory, Methods and Applications
Volume48
Issue number5
DOIs
Publication statusPublished - 2002 Feb 1

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Exterior Domain
Stokes Equations
Generalized Solution
Stokes
Reynolds number
Navier-Stokes Equations
Asymptotic Behavior
Infinity
Norm
Fluid
Approximation
Navier Stokes equations
Fluids

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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abstract = "The Stokes equations were studied and full characterizations of the homogeneous Stokes solutions in the exterior domains were presented. For small Reynolds number, the solution of the Stokes equation provides good approximation to the solution of the Navier-Stokes equations for the near body region. Whereas, all the Stokes solutions cannot account for the behavior of real fluids at infinity. The asymptotic behavior of the generalized solution was decided by the homogeneous Sobolev norms.",
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Characterization of generalized solutions for the homogeneous Stokes equations in exterior domains. / Choe, Hi Jun; Jin, Bum Ja.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 48, No. 5, 01.02.2002, p. 765-779.

Research output: Contribution to journalArticle

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AU - Jin, Bum Ja

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