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Volume 35, Issue 2
Dynamics for Three Dimensional Generalized Navier-Stokes Equations with Delay

Rui Lu, Chunxiao Guo, Xin-Guang Yang & Pan Zhang

DOI: 10.4208/jpde.v35.n2.2

J. Part. Diff. Eq., 35 (2022), pp. 123-147.

Published online: 2022-04

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  • 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.

  • Keywords

Three dimensional generalized Navier-Stokes equations, delay, pullback attractor.

  • AMS Subject Headings

35B40, 35Q35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

luruilr1995@126.com (Rui Lu)

guochunxiao1983@sina.com (Chunxiao Guo)

yangxinguang@hotmail.com (Xin-Guang Yang)

zhangpan95@hotmail.com (Pan Zhang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-35-123, author = {Lu , RuiGuo , ChunxiaoYang , Xin-Guang and Zhang , Pan}, title = {Dynamics for Three Dimensional Generalized Navier-Stokes Equations with Delay}, journal = {Journal of Partial Differential Equations}, year = {2022}, volume = {35}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v35.n2.2}, url = {http://global-sci.org/intro/article_detail/jpde/20445.html} }
TY - JOUR T1 - Dynamics for Three Dimensional Generalized Navier-Stokes Equations with Delay AU - Lu , Rui AU - Guo , Chunxiao AU - Yang , Xin-Guang AU - Zhang , Pan JO - Journal of Partial Differential Equations VL - 2 SP - 123 EP - 147 PY - 2022 DA - 2022/04 SN - 35 DO - http://doi.org/10.4208/jpde.v35.n2.2 UR - https://global-sci.org/intro/article_detail/jpde/20445.html KW - Three dimensional generalized Navier-Stokes equations, delay, pullback attractor. AB -

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.

Lu , RuiGuo , ChunxiaoYang , Xin-Guang and Zhang , Pan. (2022). Dynamics for Three Dimensional Generalized Navier-Stokes Equations with Delay. Journal of Partial Differential Equations. 35 (2). 123-147. doi:10.4208/jpde.v35.n2.2
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