Publication at Faculty of Mathematics and Physics |
2008
Abstract
The equations describing planar motion of a homogeneous, incom pressible generalized Newtonian fluid are considered. The stress tensor is given constitutively as T=(1+|Du|)^{(p-2)/2}, where Du is the symmetric part of the velocity gradient.
The equations are complemented by periodic boundary conditions. For the solution semigroup the Lyapunov exponents are computed using a slightly generalized form of the Lieb-Thirring inequality and consequently the fractal dimension of the global attractor is estimated for all p (4/3, 2].