Year: 2022
Author: Rui Lu, Chunxiao Guo, Xin-Guang Yang, Pan Zhang
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 2 : pp. 123–147
Abstract
This paper is concerned with the existence of pullback attractors for three dimensional generalized Navier-Stokes equations with delay. According to compact argument, the existence and uniqueness of weak solutions are proved by using Galerkin method, and the continuous dependence of solutions on initial values is also shown. Based on the asymptotic compactness via weak convergence method and pullback absorbing set on appropriate functional phase spaces, we get the existence of pullback attractors.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v35.n2.2
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 2 : pp. 123–147
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Three dimensional generalized Navier-Stokes equations delay pullback attractor.