Geometric Study of Gas Behavior in a One-Dimensional Nozzle (the Case of the van Der Waals Gas)

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 compute the Lie algebras of point symmetries and present group classification. Examples of exact invariant solutions...

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Published in:Lobachevskii journal of mathematics 2020-12, Vol.41 (12), p.2458-2465
Main Authors: Krasil’shchik, I. S., Lychagin, V. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Conservation laws
Geometry
Group theory
Lie groups
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Nozzles
Probability Theory and Stochastic Processes
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creator Krasil’shchik, I. S.
Lychagin, V. V.
description 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 compute the Lie algebras of point symmetries and present group classification. Examples of exact invariant solutions are given.
doi_str_mv 10.1134/S1995080220120185
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1818-9962
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source Springer Nature
subjects Algebra
Analysis
Conservation laws
Geometry
Group theory
Lie groups
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Nozzles
Probability Theory and Stochastic Processes
title Geometric Study of Gas Behavior in a One-Dimensional Nozzle (the Case of the van Der Waals Gas)
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