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Global Well-Posedness and Pullback Attractors for an Incompressible Non-Newtonian Fluid with Infinite Delays

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Abstract

This paper studies a two-dimensional incompressible non-Newtonian fluid with infinite delays. The authors first prove the global well-posedness of the solutions and then establish the existence of the pullback \(\mathcal {D}\)-attractor for a universe which is composed of time-dependent families under some suitable assumptions.

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Acknowledgments

Caidi Zhao was Partially supported by NSFC of China (No.11271290). Guowei Liu was partially supported by the Graduate Students Innovation Fund of Wenzhou University (No.31606036010181).

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang, 325035, People’s Republic of China

    Caidi Zhao & Rong An

  2. Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, People’s Republic of China

    Guowei Liu

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  1. Caidi Zhao
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  2. Guowei Liu
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  3. Rong An
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Correspondence to Caidi Zhao.

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Zhao, C., Liu, G. & An, R. Global Well-Posedness and Pullback Attractors for an Incompressible Non-Newtonian Fluid with Infinite Delays. Differ Equ Dyn Syst 25, 39–64 (2017). https://doi.org/10.1007/s12591-014-0231-9

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