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

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.