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Modeling Nonlinear Viscous Incompressible Fluid Flows in Axisymmetric Complex Geometry

An effective approach to solving the problem of steady flow of incompressible nonlinear viscous fluid in arbitrary axisymmetric channels is introduced. We show how to reduce the problem to a variational one, and then how to find the saddle point of an appropriate functional. The relevant techniques are pointed out. We analyse some numerical results.