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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 288, Pages 178–203
(Mi znsl1589)
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This article is cited in 4 scientific papers (total in 4 papers)
Estimates of deviations for generalized Newtonian fluids
S. I. Repin St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
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.
Received: 31.05.2002
Citation:
S. I. Repin, “Estimates of deviations for generalized Newtonian fluids”, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Zap. Nauchn. Sem. POMI, 288, POMI, St. Petersburg, 2002, 178–203; J. Math. Sci. (N. Y.), 123:6 (2004), 4621–4636
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https://www.mathnet.ru/eng/znsl1589 https://www.mathnet.ru/eng/znsl/v288/p178
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