Publication result detail

A New Formulation of Maxwell’s Equations

FIALOVÁ, S.; POCHYLÝ, F.

Original Title

A New Formulation of Maxwell’s Equations

English Title

A New Formulation of Maxwell’s Equations

Type

WoS Article

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

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

Key words in English

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

Authors

FIALOVÁ, S.; POCHYLÝ, F.

RIV year

2021

Released

12.05.2021

Publisher

MDPI

ISBN

2073-8994

Periodical

Symmetry-Basel

Volume

13

Number

5

State

Swiss Confederation

Pages from

868

Pages to

868

Pages count

12

URL

https://www.mdpi.com/2073-8994/13/5/868

Full text in the Digital Library

http://hdl.handle.net/11012/196763

BibTex

@article{BUT171551,
  author="Simona {Fialová} and František {Pochylý}",
  title="A New Formulation of Maxwell’s Equations",
  journal="Symmetry-Basel",
  year="2021",
  volume="13",
  number="5",
  pages="868--868",
  doi="10.3390/sym13050868",
  url="https://www.mdpi.com/2073-8994/13/5/868"
}

Documents

symmetry-13-00868-v2