Geometric study of gas behavior in a one-dimensional nozzle (the case of the van der Waals gas

Abstract

We construct a three-component system of PDEs describing dynamics of van der Walls gas in one-dimensional nozzle. The group of conservation laws for this system is described. We also ompute the Lie algebras of point symmetries and present group classification. Exact invariant solutions are discussed.

arXiv comment8 pages