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Rendering Maxwell Equations into the Compressible Inviscid Fluid Dynamics Form
Version 1
: Received: 24 August 2023 / Approved: 24 August 2023 / Online: 25 August 2023 (05:02:42 CEST)
How to cite: VADASZ, P. Rendering Maxwell Equations into the Compressible Inviscid Fluid Dynamics Form. Preprints 2023, 2023081759. https://doi.org/10.20944/preprints202308.1759.v1 VADASZ, P. Rendering Maxwell Equations into the Compressible Inviscid Fluid Dynamics Form. Preprints 2023, 2023081759. https://doi.org/10.20944/preprints202308.1759.v1
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. In addition, the derivation 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.
Keywords
“maxwell equations”; “navier-stokes equations”; “inviscid flow”; “compressible flow”; “fluid dynamics”; “electromagnetism”; “aharonov-bohm effect
Subject
Physical Sciences, Fluids and Plasmas Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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