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Pullback Attractors for a 3D Non-autonomous Navier-Stokes-Voight Equations

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Abstract

This paper is concerned with the existence of pullback attractors for the three dimensional non-autonomous Navier-Stokes-Voight equations for the processes generated by the weak and strong solutions. The main difficulty is how to establish the pullback asymptotic compactness via energy equation approach under suitable assumption on external force.

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Authors and Affiliations

  1. Department of Applied Mathematics, Donghua University, Shanghai, 201620, China

    Yu-ming Qin

  2. Department of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China

    Xin-guang Yang

  3. School of Information Science and Technology, Donghua University, Shanghai, 201620, China

    Xin-guang Yang

  4. Department of Applied Mathematics, School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai, 201620, China

    Xin Liu

Authors
  1. Yu-ming Qin
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  2. Xin-guang Yang
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  3. Xin Liu
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Corresponding author

Correspondence to Xin-guang Yang.

Additional information

Yuming Qin was in part supported by the NNSF of China (No. 10871040, 11671075). Xinguang Yang was supported in part by Ph.D. Innovative Fund of Donghua University (No. 104-06-0019089), the Fund of Young Backbone Teacher in Henan Province (No. 2018GGJS039) and the Key Project of Science and Technology of Henan Province (Grant No. 182102410069). Xin Liu was supported by the National Natural Science Foundation of China (No. 11801357).

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Qin, Ym., Yang, Xg. & Liu, X. Pullback Attractors for a 3D Non-autonomous Navier-Stokes-Voight Equations. Acta Math. Appl. Sin. Engl. Ser. 35, 737–752 (2019). https://doi.org/10.1007/s10255-019-0848-0

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  • DOI: https://doi.org/10.1007/s10255-019-0848-0

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