Abstract
The existence of the pullback attractor for the 2D non-autonomous g-Navier-Stokes equations on some bounded domains is investigated under the general assumptions of pullback asymptotic compactness. A new method to prove the existence of the pullback attractor for the 2D g-Navier-Stokes equations is given.
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Communicated by Li-qun CHEN
Project supported by the National Natural Science Foundation of China (No. 10871156) and the Fund of Xi’an Jiaotong University (No. 2009xjtujc30)
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Jiang, Jp., Hou, Yr. Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains. Appl. Math. Mech.-Engl. Ed. 31, 697–708 (2010). https://doi.org/10.1007/s10483-010-1304-x
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DOI: https://doi.org/10.1007/s10483-010-1304-x
Key words
- pullback attractor
- g-Navier-Stokes equation
- pullback asymptotic compactness
- pullback condition
- bounded domain