Zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system

TL;DR

This paper rigorously analyzes the zero dielectric constant limit in the non-isentropic compressible Euler-Maxwell system, deriving the magnetohydrodynamic equations as the dielectric constant approaches zero.

Contribution

It provides a rigorous justification of the zero dielectric constant limit for the non-isentropic compressible Euler-Maxwell system, connecting it to magnetohydrodynamics.

Findings

Derivation of non-isentropic compressible magnetohydrodynamic equations from Euler-Maxwell system as dielectric constant tends to zero.

Rigorous proof of the singular limit in the framework of smooth solutions.

Abstract

In this paper we investigate the zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system. We justify this singular limit rigorously in the framework of smooth solutions and obtain the non-isentropic compressible magnetohydrodynamic equations as the dielectric constant tends to zero.