scientific article; zbMATH DE number 7405303

DOI10.24411/2500-0101-2019-14102zbMath1498.35439MaRDI QIDQ5153819

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Publication date: 1 October 2021

Full work available at URL: http://mathnet.ru/eng/chfmj123

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zbMATH Keywords

equation of stateinvariant submodelrepresentation of invariant solutioncanonical form of submodelideal hydrodynamics equationspermissible subalgebrastationary type of submodel

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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
• Reduction of an invariant submodel of gas dynamics to canonical form
• 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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