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.
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U2 - 10.1016/S0362-546X(00)00213-3
DO - 10.1016/S0362-546X(00)00213-3
M3 - Article
AN - SCOPUS:0036466643
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 -