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具有快速振荡外力的拟地转运动的平均原理

高洪俊 段金桥

高洪俊, 段金桥. 具有快速振荡外力的拟地转运动的平均原理[J]. 应用数学和力学, 2005, 26(1): 99-110.
引用本文: 高洪俊, 段金桥. 具有快速振荡外力的拟地转运动的平均原理[J]. 应用数学和力学, 2005, 26(1): 99-110.
GAO Hong-jun, DUAN Jin-qiao. Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing[J]. Applied Mathematics and Mechanics, 2005, 26(1): 99-110.
Citation: GAO Hong-jun, DUAN Jin-qiao. Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing[J]. Applied Mathematics and Mechanics, 2005, 26(1): 99-110.

具有快速振荡外力的拟地转运动的平均原理

基金项目: 国家自然科学基金资助项目(10001018);江苏省自然科学基金资助项目(BK2001108);美国国家自然科学基金资助项目(DMS-9973204;DMS-0139073)
详细信息
    作者简介:

    高洪俊(1966- ),江苏金坛人,教授、博士(联系人.Tel/Fax:+86-25-83598129;E-mail:gaohj@njnu.edu.cn).

  • 中图分类号: O175;O231

Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing

  • 摘要: 一类大尺度的地球物理流体流可以用拟地转方程来描述.有限、但是大时间区间和整个时间轴上在快速振荡外力下的拟地转运动的平均原理被得到了.其中包括比较估计,稳定性估计和拟地转运动及其平均运动之间的收敛性.进一步,几乎周期拟地转运动的存在性和吸引子的收敛性也被得到了.
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出版历程
  • 收稿日期:  2003-04-01
  • 修回日期:  2004-09-14
  • 刊出日期:  2005-01-15

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