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Smooth Pullback Attractors for a Non-autonomous 2D Non-Newtonian Fluid and Their Tempered Behaviors

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Abstract

This paper studies the pullback asymptotic behaviors of solutions for a non-autonomous incompressible non-Newtonian fluid in two-dimensional bounded domains. The authors first prove the existence of smooth pullback attractors for the associated process, and then reveal their tempered behaviors in H 2 and H 4 norms as the initial time tends to −∞.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, Zhejiang Province, Peoples Republic of China

    Caidi Zhao, Guowei Liu & Weiming Wang

Authors
  1. Caidi Zhao
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  2. Guowei Liu
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  3. Weiming Wang
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Corresponding author

Correspondence to Caidi Zhao.

Additional information

Communicated by G.P.Galdi

The first author is sponsored in part by the National NSFC (No.11271290), NSF of Wenzhou University (2008YYLQ01).

The third author is supported in part by NSF of Zhejiang Province (No.LY12A01014).

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Zhao, C., Liu, G. & Wang, W. Smooth Pullback Attractors for a Non-autonomous 2D Non-Newtonian Fluid and Their Tempered Behaviors. J. Math. Fluid Mech. 16, 243–262 (2014). https://doi.org/10.1007/s00021-013-0153-2

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  • DOI: https://doi.org/10.1007/s00021-013-0153-2

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