Theoretical Framework of the Compressible and Incompressible Maxwell–Navier–Stokes Systems: Non-Dimensional Analysis, Euler–Stokes Dualities, and Modern Field Analogies

Abstract

Here I explain the incompressible and compressible behavior of the Maxwell-Navier-Stokes equations, for electromagnetic fluids like plasmas, that by analogy all of them work like a fluid, studying all regimes, without using the potential-vortical decomposition and spectral decomposition.