The dimension of the attractor for the 3D flow of a non-Newtonian fluid

Miroslav Bulíček, F. Ettwein, Petr Kaplický, Dalibor Pražák

Communications on Pure &amp Applied Analysis · 2009 · 10 citations · 0 references

Abstract

The equations of an incompressible, homogeneous fluidoccupying a bounded domain in $\mathbb R^3$ are considered.   &nbspThe stress tensor has ageneral polynomial dependence on the symmetric velocity gradient.The goal is to estimate the dimension of the global attractor in terms ofrelevant physical constants.