Publication detail

A New Formulation of Maxwell’s Equations

FIALOVÁ, S. POCHYLÝ, F.

English title

A New Formulation of Maxwell’s Equations

Type

journal article in Web of Science

Language

en

Original abstract

In this paper, new forms of Maxwell’s equations in vector and scalar variants are presented. The new forms are based on the use of Gauss’s theorem for magnetic induction and electrical induction. The equations are formulated in both differential and integral forms. In particular, the new forms of the equations relate to the non-stationary expressions and their integral identities. The indicated methodology enables a thorough analysis of non-stationary boundary conditions on the behavior of electromagnetic fields in multiple continuous regions. It can be used both for qualitative analysis and in numerical methods (control volume method) and optimization. The last Section introduces an application to equations of magnetic fluid in both differential and integral forms.

English abstract

In this paper, new forms of Maxwell’s equations in vector and scalar variants are presented. The new forms are based on the use of Gauss’s theorem for magnetic induction and electrical induction. The equations are formulated in both differential and integral forms. In particular, the new forms of the equations relate to the non-stationary expressions and their integral identities. The indicated methodology enables a thorough analysis of non-stationary boundary conditions on the behavior of electromagnetic fields in multiple continuous regions. It can be used both for qualitative analysis and in numerical methods (control volume method) and optimization. The last Section introduces an application to equations of magnetic fluid in both differential and integral forms.

Keywords in English

Maxwell’s equations; divergence theorem; integral form; magnetism; optimization; analysis

Released

12.05.2021

Publisher

MDPI

ISSN

2073-8994

Volume

13

Number

5

Pages from–to

868–868

Pages count

12

BIBTEX


@article{BUT171551,
  author="Simona {Fialová} and František {Pochylý},
  title="A New Formulation of Maxwell’s Equations",
  year="2021",
  volume="13",
  number="5",
  month="May",
  pages="868--868",
  publisher="MDPI",
  issn="2073-8994"
}