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Research Article | Open Access

The uniform asymptotic behavior of solutions for 2D g-Navier-Stokes equations with nonlinear dampness and its dimensions

Xiaoxia Wang( ), Jinping Jiang
College of Mathematics and Computer Science, Yan'an University, Yan'an 716000, China
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Abstract

In this paper, the uniform asymptotic behavior of solutions for 2D g-Navier-Stokes equations with nonlinear dampness is studied in unbounded domain. The uniform asymptotic properties of the process family is proved with the energy equation method and the uniform attractor is obtained. Finally, the dimension of the uniform attractor is estimated in the quasi-periodical case.

Keywords

g-Navier-Stokes equationsenergy equation methodnonlinear dampnessglobal well-posednessdimensional estimation

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Electronic Research Archive
Volume 31 Issue 7,
July 2023
Pages 3963-3979
DOI: 10.3934/era.2023201

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Cite this article:
Wang X, Jiang J. The uniform asymptotic behavior of solutions for 2D g-Navier-Stokes equations with nonlinear dampness and its dimensions. Electronic Research Archive, 2023, 31(7): 3963-3979. https://doi.org/10.3934/era.2023201

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Received: 14 January 2023
Revised: 13 April 2023
Accepted: 21 April 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)