[1] Adams R A. Sobolev Spaces. New York:Academic Press, 1975
[2] Bae H O. Existence, regularity and decay rate of solutions of non-Newtonian flow. J Math Anal Appl, 1999, 231:467-491
[3] Ball J M. Continuity properties of global attractors of generalized semiflows and the Navier-Stokes equations. J Nonl Sci, 1997, 7:475-502
[4] Bellout H, Bloom F, Nečas J. Young measure-valued solutions for non-Newtonian incompressible viscous fluids. Comm PDE, 1994, 19:1763-1803
[5] Bellout H, Bloom F. Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow. New York:Springer, 2014
[6] Bloom F, Hao W. Regularization of a non-Newtonian system in an unbounded channel:existence and uniqueness of solutions. Nonlinear Anal-Theory Methods Appl, 2001, 44:281-309
[7] Bloom F, Hao W. Regularization of a non-Newtonian system in an unbounded channel:existence of a maximal compact attractor. Nonlinear Anal-Theory Methods Appl, 2001, 43:743-766
[8] Caraballo T, Langa J, Valero J. Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise. J Math Anal Appl, 2001, 260:602-622
[9] Caraballo T, Langa J, Valero J. Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise. C R Acad Sci Paris Sér I, 2001, 332:131-136
[10] Caraballo T, Langa J, Melnik V, Valero J. Pullback attractors of nonautonomous and stochastic multivalued dynamical systems. Set-Valued Anal, 2003, 11:153-201
[11] Caraballo T, Kloeden P E, Rubio P M. Weak pullback attractors of setvalued processes. J Math Anal Appl, 2003, 288:692-707
[12] Chepyzhov V V, Vishik M I. Evolution equations and their trajectory attractors. J Math Pures Appl, 1997, 76:913-664
[13] Chepyzhov V V, Vishik M I. Attractors for Equations of Mathematical Physics. Providence, RI:Amer Math Soc, 2002
[14] Chepyzhov V V, Vishik M I, Zelik S V. Strong trajectory attractors for dissipative Euler equations. J Math Pures Appl, 2001, 96:395-407
[15] Dong B, Chen Z. Global attractors of two dimensional micropolar fluid flows in some unbounded domains. Appl Math Comp, 2006, 182:610-620
[16] Dong B, Chen Z. On upper and lower bounds of higher order derivatives for solutions to the micropolar fluid flows in R2. J Math Anal Appl, 2007, 334:1386-1399
[17] Dong B, Jiang W. On the decay of higher order derivatives of solutions to Ladyzhenskaya model for incompressible viscous flows. Sci China Ser A:Math, 2008, 51:925-934
[18] Guo B, Guo C. The convergence for non-Newtonian fluids to Navier-Stokes equations in 3D domain. Inter J Dyna Syst Differ Equ, 2009, 2:129-138
[19] Guo B, Lin G, Shang Y. Dynamics of Non-Newtonian Fluid. Beijing:National Defence Industry Press, 2006
[20] Guo B, Zhu P. Partial regularity of suitable weak solution to the system of the incompressible nonNewtonian fluids. J Differ Equ, 2002, 178:281-297
[21] Jia Y, Zhang X, Dong B. The asymptotic behavior of solutions to three-dimensional Navier-Stokes equations with nonlinear damping. Nonlinear Anal-Real World Appl, 2011, 12:1736-1747
[22] Kapustyan A V, Valero J. Weak and strong attractors for the 3D Navier-Stokes system. J Differ Equ, 2007, 240:249-278
[23] Li Y, Zhao C. Global attractor for a non-Newtonian system in two-dimensional unbounded domains. Acta Anal Funct Appl, 2002, 4:343-349
[24] Liu G, Zhao C, Cao J. H4-Boundedness of pullback attractor for a 2D non-Newtonian fluid flow. Front Math China, 2013, 8:1377-1390
[25] Málek J, Nečas J, Rokyta M, R·užička M. Weak and Measure-valued Solutions to Evolutionary PDEs. New York:Champman-Hall, 1996
[26] Melnik V S, Valero J. On attractors of multi-valued semi-flows and differential inclusions. Set-Valued Anal, 1998, 6:83-111
[27] Melnik V, Valero J. On global attractors of multivalued semiprocess and nonautonomous evolution inclusions. Set-Valued Anal, 2000, 8:375-403
[28] Pokorný M. Cauchy problem for the non-Newtonian viscous incompressible fluids. Appl Math, 1996, 41:169-201
[29] Vishik M I, Chepyzhov V V. Trajectory and global attractors of three-dimensional Navier-Stokes systems. Math Notes, 2002, 77:177-193
[30] Wang Y, Zhou S. Kernel sections and uniform attractors of multi-valued semiprocesses. J Differ Equ, 2007, 232:573-622
[31] Zhao C, Li Y. H2-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Nonlinear Anal-Theory Methods Appl, 2004, 56:1091-1103
[32] Zhao C, Li Y. A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2D unbounded domains. Nonlinear Anal-Theory Methods Appl, 2005, 60:475-483
[33] Zhao C, Zhou S, Li Y. Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. J Math Anal Appl, 2007, 325:1350-1362
[34] Zhao C, Zhou S. Pullback attractors for nonautonomous incompressible non-Newtonian fluid. J Differ Equ, 2007, 238:394-425
[35] Zhao C, Li Y, Zhou S. Regularity of trajectory attractor and upper semicontinuity of global attractor for 2D non-Newtonian fluid. J Differ Equ, 2009, 247:2331-2363
[36] Zhao C, Zhou S, Li Y. Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Quart Appl Math, 2009, 61:503-540
[37] Zhao C. Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on 2D unbounded domains. J Math Phys, 2012, 12:1-21
[38] Zhao C. Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method. Math Meth Appl Sci, 2013, 36:840-856
[39] Zhao C, Liu G, Wang W. Smooth pullback attractors for a non-autonomous 2D non-Newtonian fluid and their tempered behavior. J Math Fluid Mech, 2014, 16:243-262
[40] Zhao C, Kong L, Liu G, Zhao M. The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations. Topol Methods Nonlinear Anal, 2014, 44:413-433
[41] Zhao C, Wu H, Li C. Trajectory attractor for a class of three-dimensional incompressible non-Newtonian fluids (in Chinese). Acta Math Sin (Chinese Ser), 2015, 58:1-12 |