Abstract:
Ņonsider the system of differential equations of mechanics of
two-phase mechanics medium, mixed gas and small particles.
Temperature effects are not accounted. Arbitrary element in the
system is pressure. The principal Lie group of symmetry is found.
Specifications of arbitrary element, which can give additional
symmetry, don`t exist. There are found optimal systems of
subalgebras for the principal Lie algebra.
Keywords:symmetry group of equation, group classification,
Lie algebra, optimal system of subalgebras, equations of two-phase
medium mechanics.
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