The Canonical Form of the Rank 2 Invariant Submodels of Evolutionary Type in Ideal Hydrodynamics

DOI10.1134/S1990478919020157zbMath1438.76028OpenAlexW2950241162MaRDI QIDQ4973170

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Publication date: 2 December 2019

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478919020157

zbMATH Keywords

state equationinvariant submodeladmissible subalgebraequations of ideal hydrodynamicscanonical form of a submodelrepresentation of invariant solutionsubmodel of evolutionary type

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Invariant solutions of the gas dynamics equations from 4-parameter three-dimensional subalgebras containing all translations in space and pressure translation

Cites Work

• The ``PODMODELI program. Gas dynamics
• Optimal system for the sum of two ideals admitted by the hydrodynamic type equations
• Optimal system of non-similar subalgebras of sum of two ideals
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