General Navier-Stokes-like Momentum and Mass-Energy Equations

TL;DR

This paper introduces a novel set of Navier-Stokes-like equations to model electromagnetic phenomena, starting from general conservation laws rather than traditional fluid dynamics approximations, offering a new framework for understanding electromagnetic behavior.

Contribution

It proposes a new system of coupled momentum and mass-energy conservation equations for electromagnetic modeling, diverging from traditional hydrodynamic analogies.

Findings

Provides a structured framework for electromagnetic modeling

Offers insights into electromagnetic behavior through conservation equations

Lays groundwork for further theoretical development

Abstract

A new system of general Navier-Stokes-like equations is proposed to model electromagnetic analogous to hydrodynamic. While most attempts to derive analogues of hydrodynamic to electromagnetic, and vice-versa, start with Navier-Stokes or a Euler approximation, we propose general conservation equations as a starting point. Such equations provide a structured framework from which additional insights into the problem at hand could be obtained. To that end, we propose a system of momentum and mass-energy conservation equations coupled through both momentum density and velocity vectors.