涡度拟能的选择性衰变及波的选择  

Selective decay of enstrophy and the exciatation of waves

作　　者：蔡景景[1] 马国栋[2] 周雷[3] 刘永明[1] 

机构地区：[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

出　　处：《云南大学学报（自然科学版）》2008年第3期224-232,共9页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10671071);地理信息科学教育部重点实验室开放研究基金资助项目;上海高校选拔培养优秀青年教师科研专项基金资助项目(06XPYQ41)

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.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.

关 键 词：准地转流 涡度拟能 ROSSBY波 

分 类 号：O175.21[理学—数学] O176[理学—基础数学]