# Some preliminary observations on a defect Navier-Stokes system

## TL;DR

This paper explores how accounting for defects in the velocity field affects the structure of Navier-Stokes equations, linking fluid mechanics with elasticity and defect theories.

## Contribution

It introduces a novel perspective by connecting defect theory with classical fluid mechanics through modifications of Navier-Stokes equations.

## Key findings

- Implications of velocity field defects on Navier-Stokes structure
- Connections established between elasticity and fluid mechanics
- Preliminary observations suggest new modeling approaches

## Abstract

Some implications of the simplest accounting of defects of compatibility in the velocity field on the structure of the classical Navier-Stokes equations are explored, leading to connections between classical elasticity, the elastic theory of defects, plasticity theory, and classical fluid mechanics.