Symmetry properties of dynamics of two-phase medium
There is considered a system of partial differential equations, which describes dynamics of interpenetrating movement of two compressible mediums. This system is investigated using methods of group analysis: symmetry groups, invariant solutions, optimal system of subalgebras. Research gave the following results. Algebra Lie of symmetry group is found. Invariant and partially invariant solutions of this system are found. Some of solutions describes mixing phases in one- and three-dimensional space.