Periodic dynamics in the relativistic regime of an electromagnetic field induced by a time-dependent wire

被引：3
|
作者：
Garzon, Manuel [1 ]
Torres, Pedro J. [1 ]
机构：
[1] Univ Granada, Dept Matemat Aplicada, Campus Fuentenueva, Granada 18071, Spain
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 362卷
关键词：
Lorentz force equation; Electromagnetic field; Straight wire; Oscillating current; Radially periodic solution; Global continuation; Bessel functions; MOTION;
D O I：
10.1016/j.jde.2023.02.067
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the motion of a charged particle under the electromagnetic field generated by an electrically neutral infinite straight wire with a time-periodic oscillating (AC-DC) current. By using global continuation and topological degree, we identify a bi-parametric family of radially periodic motions. The proofs involve some delicate estimations of the induced electromagnetic field, which can be of independent interest.(c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org/licenses/by-nc-nd/4.0/).
引用
收藏
页码：173 / 197
页数：25
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