Konstantin V. Koshel, M. Sokolovskiy, D. Dritschel, J. Reinaud
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引用次数: 0
摘要
本文针对涡旋（或涡流）强度总和（环流异常）消失的特殊情况，寻找并研究了双层地转模型的 N 对称涡旋解。这项研究是对[Sokolovskiy 等人，Phys. Fluids 2020, 32, 09660]的扩展，[Sokolovskiy 等人，Phys. Fluids 2020, 32, 09660]给出了任意 N 的一般公式，但只对 N=2 进行了分析。在这里，我们得到了静止解系列，并详细研究了它们的特性，包括渐近特性。从地球物理应用的角度来看，这些结果可能有助于解释热异常在海洋中的传播。
N-Symmetric Interaction of N Hetons, II: Analysis of the Case of Arbitrary N
This paper seeks and examines N-symmetric vortical solutions of the two-layer geostrophic model for the special case when the vortices (or eddies) have vanishing summed strength (circulation anomaly). This study is an extension [Sokolovskiy et al. Phys. Fluids 2020, 32, 09660], where the general formulation for arbitrary N was given, but the analysis was only carried out for N=2. Here, families of stationary solutions are obtained and their properties, including asymptotic ones, are investigated in detail. From the point of view of geophysical applications, the results may help interpret the propagation of thermal anomalies in the oceans.
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