The Long Time Behaviors of Non-autonomous Navier-Stokes Equations with Linear Dampness on the Whole <em>R</em><sup>2</sup> Space

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Volume 13, Issue 2

The Long Time Behaviors of Non-autonomous Navier-Stokes Equations with Linear Dampness on the Whole R² Space

Chunsban Zhao & Kaitai Li

J. Part. Diff. Eq., 13 (2000), pp. 163-175.

Published online: 2000-05

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Abstract

In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R² space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.

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Non-autonomous Navier-Stokes equations linear dampness uniform attractor Hausdorff and Fractal dimension

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@Article{JPDE-13-163, author = {Chunsban Zhao and Kaitai Li}, title = {The Long Time Behaviors of Non-autonomous Navier-Stokes Equations with Linear Dampness on the Whole R² Space}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {2}, pages = {163--175}, abstract = { In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R² space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5504.html} }

TY - JOUR T1 - The Long Time Behaviors of Non-autonomous Navier-Stokes Equations with Linear Dampness on the Whole R² Space AU - Chunsban Zhao & Kaitai Li JO - Journal of Partial Differential Equations VL - 2 SP - 163 EP - 175 PY - 2000 DA - 2000/05 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5504.html KW - Non-autonomous Navier-Stokes equations KW - linear dampness KW - uniform attractor KW - Hausdorff and Fractal dimension AB - In this paper, the long time behaviors of non-autonomous Navier-Stokes equations with linear dampness on the whole R² space are considered. The existence of uniform attractor is proved when the external force terms satisfy suitable conditions. Moreover, the upper bounds of the uniform attractor's Hausdorff and Fractal dimensions are obtained.

Chunsban Zhao and Kaitai Li. (2000). The Long Time Behaviors of Non-autonomous Navier-Stokes Equations with Linear Dampness on the Whole R² Space. Journal of Partial Differential Equations. 13 (2). 163-175. doi:

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