Invariant submodels of system equations of two-velocity hydrodynamics with equilibrium of pressure phases

G. S. Vasiliev ; Jian-Gang Tang ; B. Zh. Mamasoliev

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 585-602.

Résumé

We found the main core of Lie groups of transformations for a one-dimensional system of two-velocity hydrodynamic equations with equilibrium of pressure phases, using the theory of Lie groups and Lie algebra. Also, all systems of differential equations for invariant and partially invariant solutions for all non-subgroups, algebras that are included in optimal systems are written out. In some cases, solutions have been found.

Détail

Keywords: two-velocity hydrodynamic, Lie algebra
Mots-clés : invariant solution.

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