Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors
Olga Aleksandrovna Ladyzhenskaya, Gregory A. Seregin · Izvestiya Mathematics · 1998
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.