Group classification of one-dimensional nonisentropic equations of fluids with internal inertia

DOI10.1007/s00161-011-0209-6zbMath1342.58009OpenAlexW2022388120MaRDI QIDQ737921

Sergey V. Meleshko, Piyanuch Siriwat

Publication date: 12 August 2016

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-011-0209-6

zbMATH Keywords

group classificationadmitted Lie groupequivalence Lie groupfluids with internal inertia

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Applications of global analysis to the sciences (58Z05) Group actions and symmetry properties (58D19) Liquid-gas two-phase flows, bubbly flows (76T10) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Group classification of one-dimensional nonisentropic equations of fluids with internal inertia. II: General case

Uses Software

• REDUCE

Cites Work

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• Group classification of one-dimensional equations of fluids with internal energy depending on the density and the gradient of the density
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• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• A derivation of equations for wave propagation in water of variable depth
• Generalization of the Equivalence Transformations
• Group classification of one‐dimensional equations of fluids with internal inertia
• On the equations of motion for mixtures of liquid and gas bubbles
• Generalized vorticity for bubbly liquid and dispersive shallow water equations
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