Asymptotic behavior of the solutions of the generalized globally modified Navier-Stokes equations
type: Item
instance of: scholarly article
title: Asymptotic behavior of the solutions of the generalized globally modified Navier-Stokes equations
zbMATH Open document ID: 1471.35218
DOI: 10.1155/2021/9924912
author: Yonghong Duan
author: Xiaojuan Chai
published in: Discrete Dynamics in Nature and Society
publication date: 2021-08-19T00:00:00Z
review text: Summary: The paper is concerned with the existence and the asymptotic behavior of solutions to a class of generalized Navier-Stokes equations, which generalises the so-called globally modified Navier-Stokes equations. The existence and uniqueness of solutions are proved under different assumptions on the dissipation and modification factors. For the asymptotic behavior of solutions, we prove the existence of global attractors in proper spaces. The results generalize some results derived in our previous work [Ann. Pol. Math. 122, No. 2, 101--128 (2019; Zbl 1430.35143)].
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
zbMATH DE Number: 7383440
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9924912
OpenAlex ID: W3193279414
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description: scientific article; zbMATH DE number 7383440