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.
@article{ZNSL_2002_288_a8,
author = {S. I. Repin},
title = {Estimates of deviations for generalized {Newtonian} fluids},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {178--203},
publisher = {mathdoc},
volume = {288},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a8/}
}
S. I. Repin. 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. http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a8/