Estimates of deviations for generalized Newtonian fluids
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 178-203
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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.