Navier--Stokes equations, the algebraic aspect

TL;DR

This paper explores the Navier-Stokes equations through an algebraic lens, applying the formal theory of differential equations to analyze their structure and properties.

Contribution

It introduces an algebraic approach to the Navier-Stokes equations within the formal theory of PDEs, offering new insights into their mathematical structure.

Findings

Algebraic framework applied to Navier-Stokes equations

Insights into the structure of PDE systems

Potential new methods for analyzing fluid dynamics

Abstract

Analysis of the Navier-Stokes equations in the frames of the algebraic approach to systems of partial differential equations (formal theory of differential equations) is presented.