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涡度拟能的选择性衰变及波的选择
引用本文:蔡景景,马国栋,周雷,刘永明. 涡度拟能的选择性衰变及波的选择[J]. 云南大学学报(自然科学版), 2008, 30(3): 224-232
作者姓名:蔡景景  马国栋  周雷  刘永明
作者单位:1. 华东师范大学,数学系,上海,200062
2. 中国人民大学统计学院,北京,100872
3. 上海工程技术大学,基础教学学院,上海,201620
基金项目:国家自然科学基金 , 地理信息科学教育部重点实验室开放研究基金 , 上海市高校优秀青年教师后备人选科研项目
摘    要: 研究β平面上2层的准地转流,通过变分计算得出在给定能量、动量以及环量的约束条件下最小的拟能解.此最小解的形式依赖于所考虑区域纬向长度与径向长度的比例.当纬向长度大于径向长度的某一倍数时,除一种特殊情形外,最小解是Rossby波;反之,最小解的形式取决于能量与动量平方的比值.

关 键 词:准地转流  涡度拟能  Rossby波
文章编号:0258-7971(2008)03-0224-09
修稿时间:2007-04-04

Selective decay of enstrophy and the exciatation of waves
CAI Jing-jing,MA Guo-dong,ZHOU Lei,LIU Yong-ming. Selective decay of enstrophy and the exciatation of waves[J]. Journal of Yunnan University(Natural Sciences), 2008, 30(3): 224-232
Authors:CAI Jing-jing  MA Guo-dong  ZHOU Lei  LIU Yong-ming
Affiliation:1. Department of Mathematics, East China Normal University, Shanghai 200062, China;2. Statistical School, Ren Min University of China, Beijing 100872, China;3. College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China
Abstract:For the two-layer quasi-geostrophic flow on β plane,there is a minimum enstrophy if the energy,momentum and circulation are specified.This minimum enstrophy flow is obtained by variational calculation.The form of the minimum enstrophy solutionrelies on the aspect ratio of the channel.If the zonal length of the channel is substantially greater than its meridional width,the solution is always a Rossby wave except a special case.Otherwise,if this inequality is reversed,the form of the solution is decided by the ratio of the energy to the square of momentum.
Keywords:quasi-geostrophic flow  enstrophy  Rossby wave
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