On the Optimal Control of a Class of Non-Newtonian Fluids

preprintWe consider optimal control problems of systems governed by sta-tionary, incompressible generalized Navier-Stokes equations with shear depen-dent viscosity in a two-dimensional or three-dimensional domain. We study ageneral class of viscosity functions including shear-thinning and shear-thickeningbehavior. We prove an existence result for such class of optimal control prob-lems.