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含线性阻尼的2D非自治gNavier--Stokes方程的拉回吸引子

姜金平 侯延仁 王小霞

姜金平, 侯延仁, 王小霞. 含线性阻尼的2D非自治gNavier--Stokes方程的拉回吸引子[J]. 应用数学和力学, 2011, 32(2): 144-157. doi: 10.3879/j.issn.1000-0887.2011.02.003
引用本文: 姜金平, 侯延仁, 王小霞. 含线性阻尼的2D非自治gNavier--Stokes方程的拉回吸引子[J]. 应用数学和力学, 2011, 32(2): 144-157. doi: 10.3879/j.issn.1000-0887.2011.02.003
JIANG Jin-ping, HOU Yan-ren, WANG Xiao-xia. Pullback Attractor of 2D Nonautonomous g-Navier-Stokes Equations With Linear Dampness[J]. Applied Mathematics and Mechanics, 2011, 32(2): 144-157. doi: 10.3879/j.issn.1000-0887.2011.02.003
Citation: JIANG Jin-ping, HOU Yan-ren, WANG Xiao-xia. Pullback Attractor of 2D Nonautonomous g-Navier-Stokes Equations With Linear Dampness[J]. Applied Mathematics and Mechanics, 2011, 32(2): 144-157. doi: 10.3879/j.issn.1000-0887.2011.02.003

含线性阻尼的2D非自治gNavier--Stokes方程的拉回吸引子

doi: 10.3879/j.issn.1000-0887.2011.02.003
基金项目: 国家自然科学基金资助项目(10871156);西安交通大学专项基金(2009xjtujc30)的资助
详细信息
    作者简介:

    姜金平(1974- ),男,陕西洛川人,副教授,博士(E-mail:yadxjjp@163.com);侯延仁(1969- ),男,陕西延安人,教授,博士生导师(联系人.E-mail:yrhou@mail.xjtu.edu.cn).

  • 中图分类号: O175;O35

Pullback Attractor of 2D Nonautonomous g-Navier-Stokes Equations With Linear Dampness

  • 摘要: 讨论了无界区域上含线性阻尼的2D非自治 g-Navier-Stokes 方程的拉回吸引子,通过验证共圈的拉回D-吸收集的存在性和拉回D-渐近紧性,证明了含线性阻尼的2D非自治 g-Navier-Stokes 方程的拉回吸引子的存在性,并给出了拉回吸引子的Fractal维数估计.
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出版历程
  • 收稿日期:  2010-06-05
  • 修回日期:  2011-01-05
  • 刊出日期:  2011-02-15

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