| We consider viscous, Newtonian, incompressible fluid inside a
rotating
cylinder or cylindrical shell. We discuss the convergence of
solutions of
the Navier-Stokes equations to the corresponding solutions of the
Euler
equations as viscosity vanishes for the case of planar, circularly
symmetric flows, and the behavior in the boundary layer. Symmetry
makes
the problem linear and 2D, but we allow for rough angular velocities.
We
also discuss the case of plane parallel channel flow, where the
problem is
weakly non-linear. |
