Rendering Maxwell Equations into the Compressible Inviscid Fluid Dynamics Form

Research output: Contribution to journalArticlepeer-review

Abstract

Maxwell equations governing electromagnetic effects are being shown to be equivalent to the compressible inviscid Navier–Stokes equations applicable in fluid dynamics and representing conservation of mass and linear momentum. The latter applies subject to a generalized Beltrami condition to be satisfied by the magnetic field. This equivalence indicates that the compressible inviscid Navier–Stokes equations are Lorentz invariant as they derive directly from the Lorentz-invariant Maxwell equations subject to the same Beltrami condition, provided the pressure wave propagates at the speed of light, i.e., (Formula presented.). In addition, the derivation and results provide support for the claim that electromagnetic potentials have physical significance as demonstrated by Aharonov–Bohm effect, and are not only a convenient mathematical formulation.

Original languageEnglish (US)
Article number284
JournalFluids
Volume8
Issue number11
DOIs
StatePublished - Nov 2023
Externally publishedYes

Keywords

  • Aharonov–Bohm effect
  • Maxwell equations
  • Navier–Stokes equations
  • compressible flow
  • electromagnetism
  • fluid dynamics
  • inviscid flow

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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