Euler equations in a 3+1 framework

TL;DR

This paper presents a 3+1 framework for deriving non-relativistic fluid transport equations, introducing a pseudo-Galilean transformation to obtain Euler conservation laws and discussing its implications.

Contribution

It introduces a novel 3+1 formalism and pseudo-Galilean transformation for deriving Euler equations in fluid dynamics.

Findings

Derivation of Euler equations using 3+1 representation

Introduction of a pseudo-Galilean transformation

Discussion of formalism implications and extensions

Abstract

In this paper we show how the non-relativistic transport equations for a simple fluid can be obtained using a 3+1 representation. A pseudo-galilean transformation is introduced in order to obtain the Euler conservation laws. The interpretation of such transformation as well as the implications and potential extensions of the formalism are briefly discussed.