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一类含线性阻尼的非线性自治g-Navier-Stokes系统解的渐近光滑效应
  • ISSN号：1000-274X
  • 期刊名称：《西北大学学报：自然科学版》
  • 时间：0
  • 分类：O342[理学—固体力学;理学—力学]
  • 作者机构：[1]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（11171269）;陕西省科技计划项目（2014K15-03-07）;陕西省教育厅科研项目（14JK1841）;延安大学研究生教育创新计划项目
作者： 姜金平[1,2], 王小霞[1], 侯延仁[3]
关键词： 非线性梁方程, 解序列, 渐近吸引子, 维数估计, nonlinear beam equation, solution sequence, asymptotic attractor, dimensionalestimate
中文摘要：

研究了一类非线性梁方程的渐近吸引子．即利用正交分解法构造一个有限维解序列．首先用数学归纳法证明了该解序列不会远离方程的整体吸引子，其次证明了它在长时间后无限趋于方程的整体吸引子，并给出了渐近吸引子的维数估计．

英文摘要：

In this paper, we study the asymptotic attractor of a class of Nonlinear beam equations. A solution sequence is constructed by using orthogonal decomposition.It is shown that the solution sequence doesn＇t go away from the global attractor in terms of mathematical induction. Then it is obtained that the solution sequence approaches to the global attractor of the equation in long time and the dimensional estimate of the asymptotic attractor is obtained.

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期刊信息
  • 《西北大学学报：自然科学网络版》
  • 主管单位:
  • 主办单位:
  • 主编：姚运
  • 地址：西安市太白北路299号
  • 邮编：710069
  • 邮箱：
  • 电话：029-88303833
  • 国际标准刊号：ISSN：1000-274X
  • 国内统一刊号：ISSN：61-1072/N
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:16