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 | |
| Publication status | Published - 2002 Feb 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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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 journal › Article
TY - JOUR
T1 - Characterization of generalized solutions for the homogeneous Stokes equations in exterior domains
AU - Choe, Hi Jun
AU - Jin, Bum Ja
PY - 2002/2/1
Y1 - 2002/2/1
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.
UR - http://www.scopus.com/inward/record.url?scp=0036466643&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036466643&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(00)00213-3
DO - 10.1016/S0362-546X(00)00213-3
M3 - Article
VL - 48
SP - 765
EP - 779
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 5
ER -