Invariant and partially invariant solutions and submodels of a system of equations of non-isothermal two-phase medium.

A system of two-phase media dynamics in a non-isothermal case is considered. It contains the equations of conservation of mass, momentum and energy of each of the phases. Its symmetries and their optimal system of one-dimensional and two-dimensional subalgebras are used for obtaining nonequivalent invariant and partially invariant solutions and submodels. [ABSTRACT FROM AUTHOR]