ON GROUP CLASSIFICATION OF ONE-DIMENSIONAL EQUATIONS OF NONISENTROPIC FLUIDS WITH INTERNAL INERTIA

Piyanuch  Siriwat

Authors

Piyanuch Siriwat School of Science, Mae Fah Luang University, Chiangrai, 57100, Thailand.

Keywords:

Group classification, equivalence Lie group, admitted Lie group, fluids with internal inertia

Abstract

One-dimensional flows of fluids with internal inertia are studied in the manuscript. The given equations include such models as the non-linear one-velocity model of a bubbly fluid (with an incompressible liquid phase) at a small volume concentration of gas bubbles and the dispersive shallow water model. These models are obtained for special types of the function W(ρ, , S). Earlier the case of W , , S = 0 was studied. Here the study of the case of W , , S ≠ 0 is started

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