Multi-dimensional Jordan chain and Navier-Stokes Equation

TL;DR

This paper introduces a multi-dimensional Jordan chain framework that can be reduced to classical equations like Navier-Stokes, offering a new mathematical approach to modeling continuous media.

Contribution

It presents the multi-dimensional Jordan chain and demonstrates its reduction to the Navier-Stokes and other key equations in continuous media theory.

Findings

Jordan chain admits finite-component reductions

Reduction to Navier-Stokes equation demonstrated

Provides a new mathematical framework for continuous media

Abstract

Multi-dimensional Jordan chain is presented. It is shown that it admits the finite-component reductions to the Navier-Stokes equation and other important equations of continuous media theory.