On the exterior problem in 2D for stationary flows of fluids with shear dependent viscosity
Michael Bildhauer, Martin Fuchs (2012)
Commentationes Mathematicae Universitatis Carolinae
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On the complement of the unit disk we consider solutions of the equations describing the stationary flow of an incompressible fluid with shear dependent viscosity. We show that the velocity field is equal to zero provided and uniformly. For slow flows the latter condition can be replaced by uniformly. In particular, these results hold for the classical Navier-Stokes case.