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

2020/04/08 by I. S. Krasil’shchik, Krasil'shchik, I. S., Valentin Lychagin +1
Mathematics · Physics and Astronomy · #37K05 #76N15 #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Gas Dynamics and Kinetic Theory

paper · pdf · doi:10.48550/arxiv.2004.03896

openalex publication_date 2020/04/08 · openalex created_date 2020/04/17 · openalex updated_date 2026/07/28

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.

Citations

• Ueber das Gesetz der Energieverteilung im Normalspectrum

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