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

Hi Jun Choe; Bum Ja Jin

doi:10.1016/S0362-546X(00)00213-3

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

Hi Jun Choe, Bum Ja Jin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 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 language	English
Pages (from-to)	765-779
Number of pages	15
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	48
Issue number	5
DOIs	https://doi.org/10.1016/S0362-546X(00)00213-3
Publication status	Published - 2002 Feb

Bibliographical note

Funding Information:
The first author is supported by KOSEF and KRF and the second author is supported by BK21 prg.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/S0362-546X(00)00213-3

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title = "Characterization of generalized solutions for the homogeneous Stokes equations in exterior domains",

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.",

author = "Choe, {Hi Jun} and Jin, {Bum Ja}",

note = "Funding Information: The first author is supported by KOSEF and KRF and the second author is supported by BK21 prg.",

year = "2002",

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doi = "10.1016/S0362-546X(00)00213-3",

language = "English",

volume = "48",

pages = "765--779",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - Characterization of generalized solutions for the homogeneous Stokes equations in exterior domains

AU - Choe, Hi Jun

AU - Jin, Bum Ja

N1 - Funding Information: The first author is supported by KOSEF and KRF and the second author is supported by BK21 prg.

PY - 2002/2

Y1 - 2002/2

N2 - 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.

AB - 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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U2 - 10.1016/S0362-546X(00)00213-3

DO - 10.1016/S0362-546X(00)00213-3

M3 - Article

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SP - 765

EP - 779

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 5

ER -

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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