Symmetries and Differential Invariants for Inviscid Flows on a Curve

@article{Duyunova2020SymmetriesAD,
title={Symmetries and Differential Invariants for Inviscid Flows on a Curve},
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 thermodynamic states is given.

Using virial expansion of the Planck potential, the quotient equation for the Euler system describing a one-dimensional gas flow on a space curve is reduced to a series of systems of ordinary differential equations (ODEs).Expand

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