The bi-global attractor of 2D autonomous g-Navier-Stokes equation with nonlinear dampness

In this paper, in order to study the global asymptotic properties of solutions of two-dimensional autonomous g-Navier-Stokes equations, the existence of bi-global attractors for g-Navier-Stokes equation with nonlinear dampness on some bounded domains were studied using the method of operator decompo...

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Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 50; no. 3; pp. 292 - 297
Main Authors Wang, Xiaoxia, Huang, Houzeng, Jiang, Jinping
Format Journal Article
LanguageChinese
Published Hangzhou Zhejiang University 01.05.2023
Zhejiang University Press
Subjects
Asymptotic properties
Fluid flow
Fractal geometry
Moisture content
Navier-Stokes equations
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ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2023.03.005

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Summary:In this paper, in order to study the global asymptotic properties of solutions of two-dimensional autonomous g-Navier-Stokes equations, the existence of bi-global attractors for g-Navier-Stokes equation with nonlinear dampness on some bounded domains were studied using the method of operator decomposition. The Hausdorff dimension and fractal dimension are estimated. The results show that the bi-global attractor exists and has finite Hausdorff dimension and fractal dimension.
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ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2023.03.005