TY - JOUR ID - 2007-24 T1 - The dimension of the attractor for the 3{D} flow of a non-{N}ewtonian fluid A1 - Bulíček, Miroslav A1 - Ettwein, Frank A1 - Kaplický, Petr A1 - Pražák, Dalibor JA - Communications on Pure and Applied Analysis Y1 - 2009 VL - 8 IS - 5 SP - 1503 EP - 1520 SN - 1534-0392 N1 - Preprint no. 2007-24 UR - http://www.karlin.mff.cuni.cz/ncmm/preprints/07287141344dim-attr3d.pdf M2 - doi: 10.3934/cpaa.2009.8.1503 KW - fractal dimension KW - global attractor KW - non-Newtonian fluid N2 - The equations of an incompressible, homogeneous fluid occupying a bounded domain in are considered. The stress tensor has a general polynomial dependence on the symmetric velocity gradient. The goal is to estimate the dimension of the global attractor in terms of relevant physical constants. M1 - fjournal={Communications on Pure and Applied Analysis} M1 - mrclass={37L30 (35B41 35Q35 37N10 76A05)} M1 - mrnumber={MR2505283} ER -