Detail publikačního výsledku

A New Formulation of Maxwell’s Equations

FIALOVÁ, S.; POCHYLÝ, F.

Originální název

A New Formulation of Maxwell’s Equations

Anglický název

A New Formulation of Maxwell’s Equations

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

FIALOVÁ, S.; POCHYLÝ, F.

Rok RIV

2021

Vydáno

12.05.2021

Nakladatel

MDPI

ISSN

2073-8994

Periodikum

Symmetry-Basel

Svazek

13

Číslo

5

Stát

Švýcarská konfederace

Strany od

868

Strany do

868

Strany počet

12

URL

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

Plný text v Digitální knihovně

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"
}