
doi: 10.1002/mma.885
AbstractWe study the dynamics of an incompressible, homogeneous fluid of a power‐law type, with the stress tensor T = ν(1 + µ|Dv|)p−2Dv, where Dv is a symmetric velocity gradient. We consider the two‐dimensional problem with periodic boundary conditions and p ∈ (1, 2). Under these assumptions, we estimate the fractal dimension of the exponential attractor, using the so‐called method of 𝓁‐trajectories. Copyright © 2007 John Wiley & Sons, Ltd.
fractal dimension, Non-Newtonian fluids, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, non-Newtonian fluids, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
fractal dimension, Non-Newtonian fluids, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, non-Newtonian fluids, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
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