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<p>The purpose of this work is to investigate the boundedness of the pullback attractors for the micropolar fluid flows in two-dimensional unbounded domains. Exactly, the <i>H</i><sup>1</sup>-boundedness and <i>H</i><sup>2</sup>-boundedness of the pullback attractors are established when the external force <i>F</i>(<i>t</i>, <i>x</i>) has different regularity with respect to time variable, respectively.</p>

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The Boundedness of the Pullback Attractor for a 2D Micropolar Fluid Flows

  • 期刊论文

  • 发表日期：

    2025年6月24日

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  • Wen-long Sun,
  • Chun-lin Lai,
  • Yun-yun Liang

摘要

The purpose of this work is to investigate the boundedness of the pullback attractors for the micropolar fluid flows in two-dimensional unbounded domains. Exactly, the H1-boundedness and H2-boundedness of the pullback attractors are established when the external force F(t, x) has different regularity with respect to time variable, respectively.