Stability of Circular Vortices

对海洋中正压涡旋的理想化研究将是 通过数值模拟和半解析方法进行 计算。这是理解 在现实海洋中孤立斜压涡旋的动力学。 数值模拟和实验室实验表明， 尽管涡流的中间行为可能非常 复杂的，不稳定的最终结果要么是稳定的， 旋转三极或一对稳定的平移偶极子。一个 初始涡度廓线稳定性的解析研究 有限振幅扰动也将使用矩 基于拉格朗日摄动的方法。

An idealized study of barotropic eddies in the ocean will be conducted by means of numerical simulations and semi-analytic calculations. This is an important step to understanding the dynamics of isolated baroclinic vortices in a realistic ocean. Numerical simulations and laboratory experiments have shown that, although the intermediate behavior of the eddies can be very complicated, the final result of instability is either a stable rotating tripole or a pair of stable translating dipoles. An analytic study of the stability of the initial vorticity profiles to finite amplitude perturbations will also be done using a moment approach based on Lagrangian perturbations.