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Volume 29, Issue 4
Pullback Dynamics of 2D Non-autonomous Navier-Stokes Equations with Klein-Voight Damping and Multi-delays

Keqin Su, Yanbin Sun, Lan Huang & Xin-Guang Yang

DOI: 10.4208/jpde.v29.n4.4

J. Part. Diff. Eq., 29 (2016), pp. 302-319.

Published online: 2016-12

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  • Abstract
This paper is concerned with the pullback dynamics of 2D non-autonomous Navier-Stokes-Voigt equations with continuous and distributed delays on bounded domain. Under some regular assumptions on initial and delay data, the existence of evolutionary process and the family of pullback attractors for this fluid flow model with Klein-Voight damping are derived. The regular assumption of external force is less than [1].
  • Keywords

Navier-Stokes equations with Klein-Voight damping continuous delay distributed delay pullback dynamics

  • AMS Subject Headings

35Q30, 35B40, 35B41, 76D03, 76D05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

keqinsu@hotmail.com (Keqin Su)

sunyanbin168@126.com (Yanbin Sun)

huanglan82@hotmail.com (Lan Huang)

yangxinguang@hotmail.com (Xin-Guang Yang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-302, author = {Su , KeqinSun , YanbinHuang , Lan and Yang , Xin-Guang}, title = {Pullback Dynamics of 2D Non-autonomous Navier-Stokes Equations with Klein-Voight Damping and Multi-delays}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {4}, pages = {302--319}, abstract = { This paper is concerned with the pullback dynamics of 2D non-autonomous Navier-Stokes-Voigt equations with continuous and distributed delays on bounded domain. Under some regular assumptions on initial and delay data, the existence of evolutionary process and the family of pullback attractors for this fluid flow model with Klein-Voight damping are derived. The regular assumption of external force is less than [1].}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n4.4}, url = {http://global-sci.org/intro/article_detail/jpde/5095.html} }
TY - JOUR T1 - Pullback Dynamics of 2D Non-autonomous Navier-Stokes Equations with Klein-Voight Damping and Multi-delays AU - Su , Keqin AU - Sun , Yanbin AU - Huang , Lan AU - Yang , Xin-Guang JO - Journal of Partial Differential Equations VL - 4 SP - 302 EP - 319 PY - 2016 DA - 2016/12 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n4.4 UR - https://global-sci.org/intro/article_detail/jpde/5095.html KW - Navier-Stokes equations with Klein-Voight damping KW - continuous delay KW - distributed delay KW - pullback dynamics AB - This paper is concerned with the pullback dynamics of 2D non-autonomous Navier-Stokes-Voigt equations with continuous and distributed delays on bounded domain. Under some regular assumptions on initial and delay data, the existence of evolutionary process and the family of pullback attractors for this fluid flow model with Klein-Voight damping are derived. The regular assumption of external force is less than [1].
Keqin Su, Yanbin Sun, Lan Huang & Xin-Guang Yang. (2019). Pullback Dynamics of 2D Non-autonomous Navier-Stokes Equations with Klein-Voight Damping and Multi-delays. Journal of Partial Differential Equations. 29 (4). 302-319. doi:10.4208/jpde.v29.n4.4
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