CAJ | 학술논문

首先推导了Phillips模式的一个守衡律,利用它,在Arnold第二定理的范围内研究了Phillips模式中基流的垂直速度切变引起的斜压不稳定的非线性饱和问题,得到了波动扰动能量的解析上界估计;对参数平面上的一个不稳定区域,我们的结果是对Shepherd结果的二阶修正(关于超临界数),对另一个不稳定区域,我们的结果提供了一个对任意时刻波动扰动φ'i的有效约束.
수선추도료Phillips모식적일개수형률,이용타,재Arnold제이정리적범위내연구료Phillips모식중기류적수직속도절변인기적사압불은정적비선성포화문제,득도료파동우동능량적해석상계고계;대삼수평면상적일개불은정구역,아문적결과시대Shepherd결과적이계수정(관우초림계수),대령일개불은정구역,아문적결과제공료일개대임의시각파동우동φ'i적유효약속.
A conservation law for the Phillips model is derived. Using this law, the nonlinear saturation of purely baroclinic instability caused by the vertical velocity shear of the basic flow in the Phillips model-the case of energy-is studied within the context of Arnold's second stability theorem. Analytic upper bounds on the energy of wavy disturbances are obtained. For one unstable region in the parameter plane, the result here is a second-order correction in ε to Shepherd's; For another unstable region, the analytic upper bound on the energy of wavy disturbances offers an effective constraint on wavy (nonzonal) disturbances φ'i at any time.