受博恩-因费尔德电动力学理论启发的非线性问题

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2024-03-08 DOI:10.1515/ans-2023-0123

Yisong Yang

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引用次数: 0

摘要

研究表明，可以利用玻恩-因费尔德理论类型的非线性电动力学来揭示理论物理中的一些基本问题，包括利用电磁不对称性来从能量上排除磁单极子，实现有限电磁能以消除带电黑洞的曲率奇点，以及通过 K-essence宇宙学对宇宙流体的状态方程进行理论解释。此外，还讨论了一些非线性微分方程问题。

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Nonlinear problems inspired by the Born–Infeld theory of electrodynamics

It is shown that nonlinear electrodynamics of the Born–Infeld theory type may be exploited to shed insight into a few fundamental problems in theoretical physics, including rendering electromagnetic asymmetry to energetically exclude magnetic monopoles, achieving finite electromagnetic energy to relegate curvature singularities of charged black holes, and providing theoretical interpretation of equations of state of cosmic fluids via k-essence cosmology. Also discussed are some nonlinear differential equation problems.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.