[1] Adams R A. Sobolev Spaces. New York: Academic Press, 1975

[2] Hyeong-Ohk Bae. Existence, regularity, and decay rate of solutions of non-Newtonian flow. J Math Appl Anal, 1999, 231: 467–491

[3] Bellout H, Bloom F, Neˇcas J. Weak and measure-valued solutions for non-Newtonian fluids. C R Acad Sci Paris, 1993, 317: 795–800

[4] Bellout H, Bloom F, Neˇcas J. Young measure-valued solutions for non-Newtonian incompressible viscous fluids. Comm Partial Differ Equ, 1994, 19: 1763–1803

[5] Bloom F, Hao W. Regularization of a non-Newtonian system in an unbounded channel: Existence and uniqueness of solutions. Nonl Anal, 2001, 44: 281–309

[6] Bloom F, Hao W. Regularization of a non-Newtonian system in an unbounded channel: Existence of a maximal compact attractor. Nonl Anal, 2001, 43: 743–766

[7] Chepyzhov V V, Vishik M I. Attractors for Equations of Mathematical Physics. AMS Colloquium Publi-cations, 49. Providence, RI: Amer Math Soc, 2002

[8] Dong B Q, Li Y S. Large time behavior to the system of incompressible non-Newtonian fluids in R2. J Math Anal Appl, 2004, 298: 667–676

[9] Dong B Q, Jiang W. On the decay of higher order derivatives of solutions to Ladyzhenskaya model for incompressible viscous flows. Science in China Series A: Mathematics, 2008, 51: 925–934

[10] Guo B L, Zhu P C. Partial regularity of suitable weak solution to the system of the incompressible non-Newtonian fluids. J Differ Equ, 2002, 178: 281–297

[11] Hale J K. Asymptotic Behavior of Dissipative Systems. Providence RI: Amer Math Soc, 1988

[12] Ju N. Existence of global attractor for the three-dimensional modified Navier-Stokes equations. Nonlin-earity, 2001, 14: 777–786

[13] Ju N. The H1-compact global attractor for the solutions to the Navier-Stokes equations in 2D unbounded domains. Nonlinearity, 2000, 13: 1227–1238

[14] Ladyzhenskaya O. New equations for the description of the viscous incompressible fluids and solvability in large of the boundary value problems for them//Boundary Value Problems of Mathematical Physics. Providence, RI: Amer Math Soc, 1970

[15] Lu S S, Wu H Q, Zhong C K. Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Disc Cont Dyna Syst, 2005, 13: 701–719

[16] Lu S S. Attractors for nonautonomous 2D Navier-Stokes equations with less regular normal forces. J Differ Equ, 2006, 230: 196–212

[17] Ma S, Zhong C K, The attractors for weakly damped non-autonomous hyperbolic equations with a new class of external forces. Disc Cont Dyna Syst, 2007, 18: 53–70

[18] Ma S, Cheng X Y, Li H T. Attractors for non-autonomous wave equations with a new class of external forces. J Math Anal Appl, 2008, 337: 808–820

[19] Ma S, Zhong C K, Song H T. Attractors for nonautonomous 2D Navier-Stokes equations with less regular symbols. Nonl Anal, 2009, 71: 4215–4222

[20] Ma Q F, Wang S H, Zhong C K. Necessary and sufficient conditions for the existence of global attractors for semigroup and application. Indiana Univ Math J, 2002, 51(6): 1541–1559

[21] M´alek J, Neˇcas J, Rokyta M. R˙uˇziˇck M. Weak and Measure-valued Solutions to Evolutionary PDEs. New York: Champman-Hall, 1996

[22] Pokorn´y M. Cauchy problem for the non-Newtonian viscous incompressible fluids. Appl Math, 1996, 41: 169–201

[23] Rosa R. The global attractor for the 2D Navier-Stokes flow on some unbounded domains. Nonl Anal, 1998, 32: 71–85

[24] Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics. 2nd ed. Berlin: Springer, 1997

[25] Zhao C D, Li Y S. H2-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Nonl Anal, 2004, 56: 1091–1103

[26] Zhao C D, Li Y S. A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains. Nonl Anal, 2005, 60(3): 475–483

[27] Zhao C D, Zhou S F, Liao X Y. Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. J Math Phy, 2006, 47: 1–13

[28] Zhao C D, Zhou S F. L2-compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces in distribution space. J Math Phy, 2007, 48: 1–12

[29] Zhao C D, Zhou S F. Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. J Differ Equ, 2007, 238: 394–425

[30] Zhao C D, Zhou S F, Li Y S. Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. J Math Anal Appl, 2007, 325: 1350–1362

[31] Zhao C D, Zhou S F. Pullback trajectory attractor for evolution equations and applications to 3D incom-pressible non-Newtonian fluid. Nonlinearity, 2008, 21: 1691–1717

[32] Zhao C D, Zhou S F, Li Y S. Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that are rapidly oscillating in time but have a smooth average. J Comp Appl Math, 2008, 220: 129–142

[33] Zhao C D, Zhou S F, Li Y S. Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Appl Math Comp, 2008, 201: 688–700

[34] Zhao C D, Zhou S F, Li Y S. Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Quart Appl Math, 2009, 67(3): 503–540

[35] Zhao C D, Li Y S, Zhou S F. Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. J Differ Equ, 2009, 247: 2331–2363

[36] Zhao C D, Duan J Q. Random attractor for an Ladyzhenskaya model with additive noise. J Math Anal Appl, 2010, 362: 241–251

[37] Zhao C D, Li Y S, Zhou S F. Random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Acta Math Sci, 2011, 31B(2): 567–575