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

DOI10.1134/S1995080220120185zbMath1458.35313arXiv2004.03896OpenAlexW3126957759MaRDI QIDQ2225831

I. S. Krasil'shchik, Valentin V. Lychagin

Publication date: 11 February 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03896

zbMATH Keywords

conservation lawssymmetriesgas dynamicsinvariant solutionone-dimensional nozzle

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Euler equations (35Q31)

Uses Software

• Jets

Cites Work

• Critical phenomena in filtration processes of real gases
• Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena
• Thermodynamics and Equations of State for Matter
• Blow-Up in Nonlinear Equations of Mathematical Physics
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