ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v.72, no.2, pp.55
Abstract
In this paper, we deal with a class of incompressible non-Newtonian fluids. We first give some conditions to the viscous part of the stress tensor to set our model. We then show that there exists a unique regular solution globally in time if u0 is an element of L2Binfinity ,11 and is sufficiently small in Binfinity ,11. We finally derive temporal decay rates of the solution which are consistent with the decay rates of the linear part of our model.