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Global attractor of 2D autonomous g-Navier-Stokes equations

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Abstract

In this paper, the existence of global attractors for the 2D autonomous g-Navier-Stokes equations on multi-connected bounded domains is investigated under the general assumptions of boundaries. The estimation of the Hausdorff dimensions for global attractors is given.

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Authors and Affiliations

  1. College of Computer, Yan’an University, Yan’an, 716000, Shaanxi Province, P. R. China

    Jin-ping Jiang  (姜金平) & Xiao-xia Wang  (王小霞)

Authors
  1. Jin-ping Jiang  (姜金平)
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  2. Xiao-xia Wang  (王小霞)
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Corresponding author

Correspondence to Jin-ping Jiang  (姜金平).

Additional information

Project supported by the National Natural Science Fundation of China (No. 11171269), the Natural Science Basic Research Plan in Shaanxi Province of China (No. 2012JM1012), and the Scientific Research Program Funded by Shaanxi Provincial Education Department (No. 12JK0849)

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Jiang, Jp., Wang, Xx. Global attractor of 2D autonomous g-Navier-Stokes equations. Appl. Math. Mech.-Engl. Ed. 34, 385–394 (2013). https://doi.org/10.1007/s10483-013-1678-7

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  • DOI: https://doi.org/10.1007/s10483-013-1678-7

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