Reduction of over-determined systems of differential equations

TL;DR

This paper presents a method to reduce the dimension of over-determined differential systems, including hydrodynamics equations, to facilitate their numerical solution.

Contribution

It introduces a novel approach to simplify over-determined differential systems, making them more amenable to numerical modeling.

Findings

Dimension reduction of differential systems achieved

Applicable to hydrodynamics equations

Facilitates numerical solution modeling

Abstract

It is shown how the dimension of any arbitrary over-determined system of differential equations can be reduced, which makes the system suitable for numerical solution modeling. Specifically, over-determined equations of hydrodynamics are presented.