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含线性阻尼的2D非自治g-Navier-Stokes方程的拉回吸引子
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学] O35[理学—流体力学;理学—力学]
  • 作者机构：[1]西安交通大学理学院,计算地学研究中心,西安710049, [2]延安大学数学与计算机科学学院,陕西延安716000
  • 相关基金：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
作者： 姜金平[1,2], 侯延仁[1], 王小霞[2]
关键词： 拉回吸引子, g-Navier-Stokes方程, 拉回渐近紧性, Fractal维数, 线性阻尼, pullback attractor, g-Navier-Stokes equation, pullback asymptotic compactness, fractal di-mensions, linear dampness
中文摘要：

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.

英文摘要：

The pullback attractors for the 2D non-autonomous g-Navier-Stokes equations with linear dampness on some unbounded domains were investigated.The existence of the pullback attractors was proved by verifying the existence of pullback D-absorbing sets with cocycle and obtaining the pullback D-asymptotic compactness.Furthermore,the estimation of the fractal dimensions for the 2D g-Navier-Stokes equations was given.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:8965