Vector potential - Vorticity relationship for the Stokes flows. Application to the Stokes eigenmodes in 2D/3D closed domain
The core dynamics of the Stokes eigenmodes subjected to satisfy no-slip boundary conditions on any 2D closed contour, or 3D surface, is shown to be characterized by a linear differential functional relationship between the vector potential and vorticity, $d\vomega=-\lambda\,d\vpsi$, $\lambda$ being the associated eigenvalue.
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Record created on 2007-05-22, modified on 2016-08-08