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本文用四系数的低阶谱模式研究了一个可移动风应力强迫作用下的海流方程多态解的问题。定常解的分布特征及其稳定性对风应力强迫的移动速度有很强的依赖性并且在。较小时有同时存在三组解的情况。对方程各项大小的计算表明,当风应力强迫主要用来平衡摩擦项或β项时,解是稳定的;其他情况下解一般不稳定。另外,本文还从能量关系讨论了解的稳定性,表明当海洋响应的能量主要集中在低阶谱上时,解一般是稳定的,这时能量平衡关系主要表现为民应力强迫项与摩擦项的平衡。
In this paper, the low-order spectral mode of four coefficients is used to study the problem of the polynomial solution of the ocean current equation under the action of forced wind stress. The distribution and stability of steady solutions have strong dependence on the moving speed of wind stress forcing. When there are three small groups, the solution exists at the same time. Calculations of the sizes of the equations show that the solution is stable when the wind stress force is mainly used to balance the friction term or the β term; otherwise the solution is generally unstable. In addition, the stability of the solution is also discussed from the energy relation, which shows that the solution is generally stable when the energy of the ocean response is mainly concentrated on the low-order spectra. At this time, the energy balance is mainly represented by the Forced Forces and Frictions balance.