摘要
本文研究一个带强迫、耗散的非线性准地转海流方程三系数低谱模式的多态解问题,着重讨论了类似热带气旋下的海流状况,给出了多态解与Rossby数(R)和底摩擦参数(ε)的依赖关系图。看到在R<0.5和ε<0.22的范围内有1个近似三角形的区域存在3个平衡解,其中有2个解是稳定的,另1个是不稳定的。稳定平衡解的特征是其展开系数A很大或B较大;而不稳定解是A和B均较小。它们分别反映了风应力反馈给海洋的能量较多或较小,并且A大时解的稳定性比B大时的稳定性要稳靠得多。
In this paper, a research on the problem of multiple solutions of the three-coefficient low-spectrum model for the nonlinear quasi-geostrophic ocean current equation with forcing and dissipation terms is carried out. The state of ocean current under wind similar to the tropical storm, is discussed carefully. The figure of the relations between the multiple solutions and the Rossby Number (R) and the frictional coefficients (e) is given. It is seen that in an approximate triangular region with the R less than 0.5, and the ε less than 0.22, there exist three equilibrium solutions, of them two are stable and the other is unstable.The formers are characterized by the large expansion coefficient A or B while the latter is characterized by the small A or B, corresponding to the ocean energy feeded back from the wind stress respectively,and the solution with large A is much stable than that with larger B.
出处
《热带海洋》
CSCD
1992年第1期22-29,共8页
关键词
海流
方程
低谱模式
多态解
平衡解
ocean current equation, low spectral model, multiple solu-tions, equilibrium solution
