土星分层环极大气流动的精确解与不稳定性

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2024-11-14 DOI:10.1007/s00021-024-00906-y

Jin Zhao, Xun Wang

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引用次数: 0

摘要

在本文中，我们提出了一个非线性控制方程的精确解，该方程与相关边界条件相结合，产生于对土星分层环极大气流动的研究。在拉格朗日框架中，通过指定下弦粒子路径，解法是显式的。通过短波长不稳定性方法，还得到了这种非线性波的不稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Exact Solution and Instability for Saturn’s Stratified Circumpolar Atmospheric Flow

In this paper, we present an exact solution for the nonlinear governing equation coupled with relevant boundary conditions, which arise from the study of Saturn’s stratified circumpolar atmospheric flow. The solution is explicit in the Lagrangian framework by specifying its hypotrochoidal particle paths. An instability result of such nonlinear waves is also obtained by means of the short-wavelength instability approach.

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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.