Time decay rates of the isotropic non-Newtonian flows in Rn

This paper is concerned with time decay rates for weak solutions to a class system of isotropic incompressible non-Newtonian fluid motion in R. With the use of the spectral decomposition methods of Stokes operator, the optimal decay estimates of weak solutions in L-2 norm are derived under the different conditions on the initial velocity. Moreover, the error estimates of the difference between non-Newtonian flow and Navier-Stokes flow are also investigated.