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.
|Number of pages||15|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2002 Feb|
Bibliographical noteFunding 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
- Applied Mathematics