Phase portraits on the unit sphere of the stretch-twist-fold flow
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-08-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://zurnalai.vu.lt/nonlinear-analysis/article/view/33088 |
| Summary: | 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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| ISSN: | 1392-5113 2335-8963 |