Phase portraits on the unit sphere of the stretch-twist-fold flow

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-08-28 DOI:10.15388/namc.2023.28.33088

J. Llibre, C. Valls

引用次数: 0

Abstract

The so-called stretch-twist-fold flow consists in a Stokes flow depending on two parameters defined in a unit closed ball B that is associated with the motion of a fluid particle coming from the dynamo theory, and it models a mechanism for studying the magnetic field of the Earth and the Sun. Here for the first time, we classify all the local phase portraits of its equilibrium points, and we provide the global phase portraits on the 2-dimensional sphere of the boundary of the ball B.

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拉伸-扭曲-褶皱流单位球面上的相图

所谓的拉伸-扭曲-折叠流由斯托克斯流组成，这取决于两个参数，这两个参数定义在一个单位闭球B中，这与来自发电机理论的流体粒子的运动有关，它模拟了研究地球和太阳磁场的机制。本文首次对其平衡点的所有局部相图进行了分类，并在球B边界的二维球面上给出了全局相图。

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

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.