Symmetry classification of viscid flows on space curves

TL;DR

This paper classifies symmetries and differential invariants of viscid flows with temperature-dependent viscosity on space curves, analyzing how thermodynamic states influence these symmetries.

Contribution

It provides a novel classification of thermodynamic states based on symmetry properties of viscid flows on space curves.

Findings

Symmetries depend on thermodynamic states.

Classification of thermodynamic states based on flow symmetries.

Differential invariants identified for various states.

Abstract

Symmetries and differential invariants of viscid flows with viscosity depending on temperature on a space curve are given. Their dependence on thermodynamic states of media is studied, and a classification of thermodynamic states is given.