Hamilton's principle and Rankine-Hugoniot conditions for general motions of mixtures

In previous papers [1, 2], we presented hyperbolic governing equations and jump conditions for barotropic fluid mixtures. Now we extend our results to the most general case of two-component media. We obtain governing equation s for each component. This is not a system of conservation laws. Neverthele ss, using Hamilton's principle we are able to obtain a complete set of Rank ine-Hugroniot conditions. For the two-fluid case, the jump relations do not involve the conservation of the total momentum and the total energy.