标题： 北极卤跃层的不稳定性 显示英文标题

标题： Instability of the halocline at the North Pole

摘要： 在本文中，我们研究了近惯性Pollard波的稳定性，作为北极洋区域以北极为中心的盐跃层的模型，该模型来源于Puntini (2025a)。 采用短波长不稳定性方法，此类流动的稳定性简化为沿流体轨迹研究常微分方程组的稳定性，得出的结果是，当近惯性Pollard波的陡度超过特定阈值时，这些波是线性不稳定的。 该模型的显式色散关系使得可以很容易地计算出该阈值，已知水柱的物理特性。 显示英文摘要

摘要： In this paper we address the issue of stability for the near-inertial Pollard waves, as a model for the halocline in the region of the Arctic Ocean centered around the North Pole, derived in Puntini (2025a). Adopting the short-wavelength instability approach, the stability of such flows reduces to study the stability of a system of ODEs along fluid trajectories, leading to the result that, when the steepness of the near-inertial Pollard waves exceeds a specific threshold, those waves are linearly unstable. The explicit dispersion relation of the model allows to easily compute such threshold, knowing the physical properties of the water column.