Filamentation near Hill’s vortex

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2021-07-13 DOI:10.1080/03605302.2022.2139721

Kyudong Choi, In-Jee Jeong

引用次数: 8

Abstract

Abstract For the axi-symmetric incompressible Euler equations, we prove linear in time filamentation near Hill’s vortex: there exists an arbitrary small outward perturbation growing linearly for all times. This is based on combining the recent nonlinear orbital stability obtained by the first author with a dynamical bootstrapping scheme for particle trajectories. These results rigorously confirm numerical simulations by Pozrikidis in 1986.

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希尔涡旋附近的细丝化

摘要对于轴对称不可压缩Euler方程，我们证明了Hill涡旋附近的线性时间丝状：存在一个任意的小的向外扰动，该扰动在所有时间内线性增长。这是基于将第一作者最近获得的非线性轨道稳定性与粒子轨迹的动态自举方案相结合。这些结果严格地证实了Pozrikidis在1986年的数值模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.