Symmetry classification of viscid flows on space curves

@article{Duyunova2020SymmetryCO,
title={Symmetry classification of viscid flows on space curves},
author={Anna Duyunova and Valentin V. Lychagin and Sergey Tychkov},
journal={arXiv: Mathematical Physics},
year={2020}
}

Symmetries and the corresponding fields of differential invariants of the inviscid flows on a curve are given. Their dependence on thermodynamic states of media is studied, and a classification of… Expand

The paper is an extended overview of the papers. The main extension is a detailed analysis of thermodynamic states, symmetries, and differential invariants. This analysis is based on consideration of… Expand

We prove a global algebraic version of the Lie–Tresse theorem which states that the algebra of differential invariants of an algebraic pseudogroup action on a differential equation is generated by a… Expand

This paper has a long story and goes back to the middle of 80s but its recent version is based on the series of lectures I gave during the Summer school Wisla 18.