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Evolutionary equations and constraints: Maxwell equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA2202EQH" target="_blank" >RIV/61988987:17310/19:A2202EQH - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1063/1.5109087" target="_blank" >http://dx.doi.org/10.1063/1.5109087</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.5109087" target="_blank" >10.1063/1.5109087</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Evolutionary equations and constraints: Maxwell equations

  • Original language description

    By fixing a reference frame in spacetime, it is possible to split the Euler-Lagrange equations associated with a degenerate Lagrangian into purely evolutionary equations and constraints on the allowed Cauchy data with respect to the notion of space and time associated with the given reference frame. In the context of classical electrodynamics, we introduce a 'covariantization procedure' that allows us to invert the perspective and to recover a full-fledged covariant formulation of Maxwell's equations starting only with constraint equations (i.e., Gauss law and the local version of the law of conservation of magnetic flux) as perceived in a sufficient number of (inertial) reference frames on Minkowski spacetime.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10300 - Physical sciences

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    J MATH PHYS

  • ISSN

    0022-2488

  • e-ISSN

  • Volume of the periodical

    60

  • Issue of the periodical within the volume

    11

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    24

  • Pages from-to

    113503

  • UT code for WoS article

    000515150800001

  • EID of the result in the Scopus database

    2-s2.0-85074966466