Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors
Izvestiya. Mathematics , Tome 62 (1998) no. 1, pp. 55-113

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This article deals with two-dimensional initial boundary value problems of the dynamics of generalized Newtonian liquids. We prove theorems on the smoothness of solutions of these problems and estimate the Hausdorff and fractal dimensions of their attractors.
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     title = {Smoothness of solutions of equations describing generalized {Newtonian} flows and estimates for the dimensions of their attractors},
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O. A. Ladyzhenskaya; G. A. Seregin. Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors. Izvestiya. Mathematics , Tome 62 (1998) no. 1, pp. 55-113. http://geodesic.mathdoc.fr/item/IM2_1998_62_1_a2/