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Temporal decay of strong solutions for generalized Newtonian fluids with variable power-law index

Temporal decay of strong solutions for generalized Newtonian fluids with variable power-law index

We consider the motion of a power-law-like generalized Newtonian fluid in R3, where the power-law index is a variable function. This system of nonlinear partial differential equations arises in mathematical models of electrorheological fluids. The aim of this paper is to investigate the decay properties of strong solutions for the …