Estimates of deviations for generalized Newtonian fluids

The paper is concerned with deriving extimates of deviations from exact solutions for stationary models of viscous incompressible fluids. It is shown that if a function compared with exact solution is subdject to the incompressibility condition, then he deviation majorant consists of terms that penalize inaccuracy in the equilibrium equation and theological relation defined by a certain dissipative potential. If such a function does not satisfy the incompressibility condition, then an additional term depends on the constant in the Ladyzhenskaya–Babus̆ka–Brezzi.