Publication detail

A New Formulation of Maxwell’s Equations

FIALOVÁ, S. POCHYLÝ, F.

Original Title

A New Formulation of Maxwell’s Equations

Type

journal article in Web of Science

Language

English

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.

Keywords

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

Authors

FIALOVÁ, S.; POCHYLÝ, F.

Released

12. 5. 2021

Publisher

MDPI

ISBN

2073-8994

Periodical

Symmetry

Year of study

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",
  year="2021",
  volume="13",
  number="5",
  pages="868--868",
  doi="10.3390/sym13050868",
  issn="2073-8994",
  url="https://www.mdpi.com/2073-8994/13/5/868"
}