风海流方程低谱模式多态解问题(二)

On the Multiple Solutions to a Low-Spectrum Model of Wind-Driven Ocean Current Equation (Ⅱ)

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。

Multiple solutions to ocean equations under the influence of moving wind-stress with four Fourier comPonents are studied. Results show that the moving speed of wind-stress influence greatly the steady-state solutions and there can be multiple equilibrium solutions when s is small. The balance between equation terms indicates that, the solutions are stable when the wind-stress term reaches a balance of the bottom friction term or β term. The balance of energy is also studied. Results show that,when the energy of ocean response mainly concentrates on the low-order spectra and the energy bal-ance is presented as the balance between the windrttress term and the friction term, the steady-state so-lutions are stable.