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On the existence of strong solutions for unsteady motion of incompressible chemically reacting generalized Newtonian fluid

On the existence of strong solutions for unsteady motion of incompressible chemically reacting generalized Newtonian fluid

We consider a system of nonlinear partial differential equations modeling the unsteady motion of an incompressible generalized Newtonian fluid with chemical reactions. The system consists of the generalized Navier-Stokes equations with power-law type viscosity with a power-law index depending on the concentration, and the convection-diffusion equation which describes chemical concentration. …